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GCF of 570/99, 260/938

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 570/99, 260/938 i.e 10/92862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/99, 260/938.

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 570/99,260/938?

Given fractions are 570/99,260/938

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 570/99,260/938, numerators are 570,260

Denominators are 99,938

The GCF of 570,260 is 10 .

LCM of 99,938 is 92862.

The greatest common factor of 570/99,260/938 = [GCF of 570,260]/[LCM of 99,938]= 10/92862

Therefore, the GCF of 570/99,260/938 is 10/92862.

Greatest Common Factor of 570,260

To find the highest common factor of 570,260, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

The HCF of 570,260 is 10.

Lets's calculate GCF of 570,260

Greatest Common Factor (GCF) of 570,260 By Common Division

2 570, 260
5 285, 130
57, 26

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 570,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,260 By Matching Biggest Common Factor Method

Now, list down the factors of 570

:

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 260

:

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 570,260 . The biggest common factor number is the GCF number.
So the greatest common factor 570,260 is 10.

Lets's calculate LCM of 99,938

Lowest Common Multiple of 99,938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 92862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/92862

Therefore, the GCF of Fractions 570/99,260/938 is 10/92862

Least Common Multiple of 99,938 with GCF Formula

Least Common Multiple of 99,938 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 99,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,938) = 1

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

GCF(99,938) x common factors =1 x 1 = 1

LCM(99,938) = ( 99 × 938 ) / 1

LCM(99,938) = 92862 / 1

LCM(99,938) = 92862


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FAQs on GCF of Fractions of 570/99, 260/938

1. What is the HCF of 570,260?

The HCF of 570,260 is 10

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 570/99, 260/938?

Answer: GCF of Numerators as per given numbers 570/99, 260/938 is

GCF of Numerators i.e. for 570,260 is 10

LCM of denominators i.e. for 99,938 is 92862.

Thus, GCF of Fractions is 10/92862.Finally, GCF of Fractions for 570/99, 260/938 is 10/92862.