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GCF of 502/200, 454/784

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 502/200, 454/784 i.e 2/19600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/200, 454/784.

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 502/200,454/784?

Given fractions are 502/200,454/784

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 502/200,454/784, numerators are 502,454

Denominators are 200,784

The GCF of 502,454 is 2 .

LCM of 200,784 is 19600.

The greatest common factor of 502/200,454/784 = [GCF of 502,454]/[LCM of 200,784]= 2/19600

Therefore, the GCF of 502/200,454/784 is 2/19600.

Greatest Common Factor of 502,454

To find the highest common factor of 502,454, 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 454 are 1, 2, 227, 454

The HCF of 502,454 is 2.

Lets's calculate GCF of 502,454

Greatest Common Factor (GCF) of 502,454 By Common Division

2 502, 454
251, 227

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

Greatest Common Factor of 502,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,454 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 454

:

1,2,227,454

Greatest Common Factor

We found the factors 502,454 . The biggest common factor number is the GCF number.
So the greatest common factor 502,454 is 2.

Lets's calculate LCM of 200,784

Lowest Common Multiple of 200,784 using Common Division

2 200, 784
2 100, 392
2 50, 196
25, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 98 = 19600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19600

Therefore, the GCF of Fractions 502/200,454/784 is 2/19600

Least Common Multiple of 200,784 with GCF Formula

Least Common Multiple of 200,784 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 200,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,784) = 8

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

GCF(200,784) x common factors =8 x 1 = 8

LCM(200,784) = ( 200 × 784 ) / 8

LCM(200,784) = 156800 / 8

LCM(200,784) = 19600


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FAQs on GCF of Fractions of 502/200, 454/784

1. What is the HCF of 502,454?

The HCF of 502,454 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 502/200, 454/784?

Answer: GCF of Numerators as per given numbers 502/200, 454/784 is

GCF of Numerators i.e. for 502,454 is 2

LCM of denominators i.e. for 200,784 is 19600.

Thus, GCF of Fractions is 2/19600.Finally, GCF of Fractions for 502/200, 454/784 is 2/19600.