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GCF of 244/722, 572/830

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 244/722, 572/830 i.e 4/299630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/722, 572/830.

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 244/722,572/830?

Given fractions are 244/722,572/830

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 244/722,572/830, numerators are 244,572

Denominators are 722,830

The GCF of 244,572 is 4 .

LCM of 722,830 is 299630.

The greatest common factor of 244/722,572/830 = [GCF of 244,572]/[LCM of 722,830]= 4/299630

Therefore, the GCF of 244/722,572/830 is 4/299630.

Greatest Common Factor of 244,572

To find the highest common factor of 244,572, we have to find the factors of both numbers and list the highest common factor.

The factors of 244 are 1, 2, 4, 61, 122, 244

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The HCF of 244,572 is 4.

Lets's calculate GCF of 244,572

Greatest Common Factor (GCF) of 244,572 By Common Division

2 244, 572
2 122, 286
61, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 244,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,572 By Matching Biggest Common Factor Method

Now, list down the factors of 244

:

1,2,4,61,122,244

Now, list down the factors of 572

:

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 244,572 . The biggest common factor number is the GCF number.
So the greatest common factor 244,572 is 4.


Lets's calculate LCM of 722,830

Lowest Common Multiple of 722,830 using Common Division

2 722, 830
361, 415

∴ So the LCM of the given numbers is 2 x 361 x 415 = 299630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/299630

Therefore, the GCF of Fractions 244/722,572/830 is 4/299630

Least Common Multiple of 722,830 with GCF Formula

Least Common Multiple of 722,830 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 722,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,830) = 2

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

GCF(722,830) x common factors =2 x 1 = 2

LCM(722,830) = ( 722 × 830 ) / 2

LCM(722,830) = 599260 / 2

LCM(722,830) = 299630


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 244/722, 572/830

1. What is the HCF of 244,572?

The HCF of 244,572 is 4

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 244/722, 572/830?

Answer: GCF of Numerators as per given numbers 244/722, 572/830 is

GCF of Numerators i.e. for 244,572 is 4

LCM of denominators i.e. for 722,830 is 299630.

Thus, GCF of Fractions is 4/299630.Finally, GCF of Fractions for 244/722, 572/830 is 4/299630.