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GCF of 518/496, 525/508

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 518/496, 525/508 i.e 7/62992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/496, 525/508.

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 518/496,525/508?

Given fractions are 518/496,525/508

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 518/496,525/508, numerators are 518,525

Denominators are 496,508

The GCF of 518,525 is 7 .

LCM of 496,508 is 62992.

The greatest common factor of 518/496,525/508 = [GCF of 518,525]/[LCM of 496,508]= 7/62992

Therefore, the GCF of 518/496,525/508 is 7/62992.

Greatest Common Factor of 518,525

To find the highest common factor of 518,525, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

The HCF of 518,525 is 7.

Lets's calculate GCF of 518,525

Greatest Common Factor (GCF) of 518,525 By Common Division

7 518, 525
74, 75

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 518,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,525 By Matching Biggest Common Factor Method

Now, list down the factors of 518

:

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

Now, list down the factors of 525

:

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 518,525 . The biggest common factor number is the GCF number.
So the greatest common factor 518,525 is 7.

Lets's calculate LCM of 496,508

Lowest Common Multiple of 496,508 using Common Division

2 496, 508
2 248, 254
124, 127

∴ So the LCM of the given numbers is 2 x 2 x 124 x 127 = 62992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/62992

Therefore, the GCF of Fractions 518/496,525/508 is 7/62992

Least Common Multiple of 496,508 with GCF Formula

Least Common Multiple of 496,508 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 496,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,508) = 4

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

GCF(496,508) x common factors =4 x 1 = 4

LCM(496,508) = ( 496 × 508 ) / 4

LCM(496,508) = 251968 / 4

LCM(496,508) = 62992


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FAQs on GCF of Fractions of 518/496, 525/508

1. What is the HCF of 518,525?

The HCF of 518,525 is 7

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 518/496, 525/508?

Answer: GCF of Numerators as per given numbers 518/496, 525/508 is

GCF of Numerators i.e. for 518,525 is 7

LCM of denominators i.e. for 496,508 is 62992.

Thus, GCF of Fractions is 7/62992.Finally, GCF of Fractions for 518/496, 525/508 is 7/62992.