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GCF of 4/51, 22/90, 84/506, 485/233

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 4/51, 22/90, 84/506, 485/233 i.e 1/90191970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/51, 22/90, 84/506, 485/233.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4/51,22/90,84/506,485/233?

Given fractions are 4/51,22/90,84/506,485/233

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4/51,22/90,84/506,485/233, numerators are 4,22,84,485

Denominators are 51,90,506,233

The GCF of 4,22,84,485 is 1 .

LCM of 51,90,506,233 is 90191970.

The greatest common factor of 4/51,22/90,84/506,485/233 = [GCF of 4,22,84,485]/[LCM of 51,90,506,233]= 1/90191970

Therefore, the GCF of 4/51,22/90,84/506,485/233 is 1/90191970.

Greatest Common Factor of 4,22,84,485

To find the highest common factor of 4,22,84,485, we have to find the factors of both numbers and list the highest common factor.

The factors of 4 are 1, 2, 4

The factors of 22 are 1, 2, 11, 22

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 485 are 1, 5, 97, 485

The HCF of 4,22,84,485 is 1.

Lets's calculate GCF of 4,22,84,485

Greatest Common Factor (GCF) of 4,22,84,485 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4,22,84,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,22,84,485 By Matching Biggest Common Factor Method

Now, list down the factors of 4

:

1,2,4

Now, list down the factors of 22

:

1,2,11,22

Now, list down the factors of 84

:

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 485

:

1,5,97,485

Greatest Common Factor

We found the factors 4,22,84,485 . The biggest common factor number is the GCF number.
So the greatest common factor 4,22,84,485 is 1.


Lets's calculate LCM of 51,90,506,233

Lowest Common Multiple of 51,90,506,233 using Common Division

2 51, 90, 506, 233
3 51, 45, 253, 233
17, 15, 253, 233

∴ So the LCM of the given numbers is 2 x 3 x 17 x 15 x 253 x 233 = 90191970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90191970

Therefore, the GCF of Fractions 4/51,22/90,84/506,485/233 is 1/90191970

Least Common Multiple of 51,90,506,233 with GCF Formula

Least Common Multiple of 51,90,506,233 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 51,90,506,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,90,506,233) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(51,90,506,233) x common factors =1 x 6 = 6

LCM(51,90,506,233) = ( 51 × 90 × 506 × 233 ) / 6

LCM(51,90,506,233) = 541151820 / 6

LCM(51,90,506,233) = 90191970


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4/51, 22/90, 84/506, 485/233

1. What is the HCF of 4,22,84,485?

The HCF of 4,22,84,485 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 4/51, 22/90, 84/506, 485/233?

Answer: GCF of Numerators as per given numbers 4/51, 22/90, 84/506, 485/233 is

GCF of Numerators i.e. for 4,22,84,485 is 1

LCM of denominators i.e. for 51,90,506,233 is 90191970.

Thus, GCF of Fractions is 1/90191970.Finally, GCF of Fractions for 4/51, 22/90, 84/506, 485/233 is 1/90191970.