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GCF of 5021/504, 2733/684

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 5021/504, 2733/684 i.e 1/9576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5021/504, 2733/684.

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 5021/504,2733/684?

Given fractions are 5021/504,2733/684

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 5021/504,2733/684, numerators are 5021,2733

Denominators are 504,684

The GCF of 5021,2733 is 1 .

LCM of 504,684 is 9576.

The greatest common factor of 5021/504,2733/684 = [GCF of 5021,2733]/[LCM of 504,684]= 1/9576

Therefore, the GCF of 5021/504,2733/684 is 1/9576.

Greatest Common Factor of 5021,2733

To find the highest common factor of 5021,2733, we have to find the factors of both numbers and list the highest common factor.

The factors of 5021 are 1, 5021

The factors of 2733 are 1, 3, 911, 2733

The HCF of 5021,2733 is 1.

Lets's calculate GCF of 5021,2733

Greatest Common Factor (GCF) of 5021,2733 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5021,2733 By Matching Biggest Common Factor Method

Greatest Common Factor of 5021,2733 By Matching Biggest Common Factor Method

Now, list down the factors of 5021

:

1,5021

Now, list down the factors of 2733

:

1,3,911,2733

Greatest Common Factor

We found the factors 5021,2733 . The biggest common factor number is the GCF number.
So the greatest common factor 5021,2733 is 1.

Lets's calculate LCM of 504,684

Lowest Common Multiple of 504,684 using Common Division

2 504, 684
2 252, 342
3 126, 171
3 42, 57
14, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 14 x 19 = 9576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9576

Therefore, the GCF of Fractions 5021/504,2733/684 is 1/9576

Least Common Multiple of 504,684 with GCF Formula

Least Common Multiple of 504,684 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 504,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,684) = 36

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

GCF(504,684) x common factors =36 x 1 = 36

LCM(504,684) = ( 504 × 684 ) / 36

LCM(504,684) = 344736 / 36

LCM(504,684) = 9576


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FAQs on GCF of Fractions of 5021/504, 2733/684

1. What is the HCF of 5021,2733?

The HCF of 5021,2733 is 1

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 5021/504, 2733/684?

Answer: GCF of Numerators as per given numbers 5021/504, 2733/684 is

GCF of Numerators i.e. for 5021,2733 is 1

LCM of denominators i.e. for 504,684 is 9576.

Thus, GCF of Fractions is 1/9576.Finally, GCF of Fractions for 5021/504, 2733/684 is 1/9576.