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GCF of 524/980, 518/751

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 524/980, 518/751 i.e 2/735980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/980, 518/751.

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 524/980,518/751?

Given fractions are 524/980,518/751

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 524/980,518/751, numerators are 524,518

Denominators are 980,751

The GCF of 524,518 is 2 .

LCM of 980,751 is 735980.

The greatest common factor of 524/980,518/751 = [GCF of 524,518]/[LCM of 980,751]= 2/735980

Therefore, the GCF of 524/980,518/751 is 2/735980.

Greatest Common Factor of 524,518

To find the highest common factor of 524,518, we have to find the factors of both numbers and list the highest common factor.

The factors of 524 are 1, 2, 4, 131, 262, 524

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 524,518 is 2.

Lets's calculate GCF of 524,518

Greatest Common Factor (GCF) of 524,518 By Common Division

2 524, 518
262, 259

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

Greatest Common Factor of 524,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,518 By Matching Biggest Common Factor Method

Now, list down the factors of 524

:

1,2,4,131,262,524

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 524,518 . The biggest common factor number is the GCF number.
So the greatest common factor 524,518 is 2.

Lets's calculate LCM of 980,751

Lowest Common Multiple of 980,751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 735980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/735980

Therefore, the GCF of Fractions 524/980,518/751 is 2/735980

Least Common Multiple of 980,751 with GCF Formula

Least Common Multiple of 980,751 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 980,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,751) = 1

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

GCF(980,751) x common factors =1 x 1 = 1

LCM(980,751) = ( 980 × 751 ) / 1

LCM(980,751) = 735980 / 1

LCM(980,751) = 735980


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FAQs on GCF of Fractions of 524/980, 518/751

1. What is the HCF of 524,518?

The HCF of 524,518 is 2

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 524/980, 518/751?

Answer: GCF of Numerators as per given numbers 524/980, 518/751 is

GCF of Numerators i.e. for 524,518 is 2

LCM of denominators i.e. for 980,751 is 735980.

Thus, GCF of Fractions is 2/735980.Finally, GCF of Fractions for 524/980, 518/751 is 2/735980.