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GCF of 502/104, 524/200

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 502/104, 524/200 i.e 2/2600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/104, 524/200.

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 502/104,524/200?

Given fractions are 502/104,524/200

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 502/104,524/200, numerators are 502,524

Denominators are 104,200

The GCF of 502,524 is 2 .

LCM of 104,200 is 2600.

The greatest common factor of 502/104,524/200 = [GCF of 502,524]/[LCM of 104,200]= 2/2600

Therefore, the GCF of 502/104,524/200 is 2/2600.

Greatest Common Factor of 502,524

To find the highest common factor of 502,524, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

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

The HCF of 502,524 is 2.

Lets's calculate GCF of 502,524

Greatest Common Factor (GCF) of 502,524 By Common Division

2 502, 524
251, 262

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

Greatest Common Factor of 502,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,524 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 524

:

1,2,4,131,262,524

Greatest Common Factor

We found the factors 502,524 . The biggest common factor number is the GCF number.
So the greatest common factor 502,524 is 2.

Lets's calculate LCM of 104,200

Lowest Common Multiple of 104,200 using Common Division

2 104, 200
2 52, 100
2 26, 50
13, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 25 = 2600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2600

Therefore, the GCF of Fractions 502/104,524/200 is 2/2600

Least Common Multiple of 104,200 with GCF Formula

Least Common Multiple of 104,200 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 104,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,200) = 8

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

GCF(104,200) x common factors =8 x 1 = 8

LCM(104,200) = ( 104 × 200 ) / 8

LCM(104,200) = 20800 / 8

LCM(104,200) = 2600


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FAQs on GCF of Fractions of 502/104, 524/200

1. What is the HCF of 502,524?

The HCF of 502,524 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 502/104, 524/200?

Answer: GCF of Numerators as per given numbers 502/104, 524/200 is

GCF of Numerators i.e. for 502,524 is 2

LCM of denominators i.e. for 104,200 is 2600.

Thus, GCF of Fractions is 2/2600.Finally, GCF of Fractions for 502/104, 524/200 is 2/2600.