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GCF of 4972/643, 2728/470

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 4972/643, 2728/470 i.e 44/302210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4972/643, 2728/470.

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 4972/643,2728/470?

Given fractions are 4972/643,2728/470

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 4972/643,2728/470, numerators are 4972,2728

Denominators are 643,470

The GCF of 4972,2728 is 44 .

LCM of 643,470 is 302210.

The greatest common factor of 4972/643,2728/470 = [GCF of 4972,2728]/[LCM of 643,470]= 44/302210

Therefore, the GCF of 4972/643,2728/470 is 44/302210.

Greatest Common Factor of 4972,2728

To find the highest common factor of 4972,2728, we have to find the factors of both numbers and list the highest common factor.

The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728

The HCF of 4972,2728 is 44.

Lets's calculate GCF of 4972,2728

Greatest Common Factor (GCF) of 4972,2728 By Common Division

2 4972, 2728
2 2486, 1364
11 1243, 682
113, 62

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 4972,2728 By Matching Biggest Common Factor Method

Greatest Common Factor of 4972,2728 By Matching Biggest Common Factor Method

Now, list down the factors of 4972

:

1,2,4,11,22,44,113,226,452,1243,2486,4972

Now, list down the factors of 2728

:

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

Greatest Common Factor

We found the factors 4972,2728 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,2728 is 44.


Lets's calculate LCM of 643,470

Lowest Common Multiple of 643,470 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 302210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/302210

Therefore, the GCF of Fractions 4972/643,2728/470 is 44/302210

Least Common Multiple of 643,470 with GCF Formula

Least Common Multiple of 643,470 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 643,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,470) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(643,470) x common factors =1 x 1 = 1

LCM(643,470) = ( 643 × 470 ) / 1

LCM(643,470) = 302210 / 1

LCM(643,470) = 302210


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4972/643, 2728/470

1. What is the HCF of 4972,2728?

The HCF of 4972,2728 is 44

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 4972/643, 2728/470?

Answer: GCF of Numerators as per given numbers 4972/643, 2728/470 is

GCF of Numerators i.e. for 4972,2728 is 44

LCM of denominators i.e. for 643,470 is 302210.

Thus, GCF of Fractions is 44/302210.Finally, GCF of Fractions for 4972/643, 2728/470 is 44/302210.