How to Find GCF of 2924/832, 6727/656?

GCF of 2924/832, 6727/656

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 2924/832, 6727/656 i.e 1/34112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2924/832, 6727/656.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2924/832,6727/656?

Given fractions are 2924/832,6727/656

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 2924/832,6727/656, numerators are 2924,6727

Denominators are 832,656

The GCF of 2924,6727 is 1 .

LCM of 832,656 is 34112.

The greatest common factor of 2924/832,6727/656 = [GCF of 2924,6727]/[LCM of 832,656]= 1/34112

Therefore, the GCF of 2924/832,6727/656 is 1/34112.

Greatest Common Factor of 2924,6727

To find the highest common factor of 2924,6727, we have to find the factors of both numbers and list the highest common factor.

The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924

The factors of 6727 are 1, 7, 31, 217, 961, 6727

The HCF of 2924,6727 is 1.

Lets's calculate GCF of 2924,6727

Greatest Common Factor (GCF) of 2924,6727 By Common Division

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

Greatest Common Factor of 2924,6727 By Matching Biggest Common Factor Method

Now, list down the factors of 2924

1,2,4,17,34,43,68,86,172,731,1462,2924

Now, list down the factors of 6727

1,7,31,217,961,6727

Greatest Common Factor

We found the factors 2924,6727 . The biggest common factor number is the GCF number.
So the greatest common factor 2924,6727 is 1.

Lets's calculate LCM of 832,656

Lowest Common Multiple of 832,656 using Common Division

2	832, 656
2	416, 328
2	208, 164
2	104, 82
	52, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 52 x 41 = 34112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34112

Therefore, the GCF of Fractions 2924/832,6727/656 is 1/34112

Least Common Multiple of 832,656 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 832,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,656) = 16

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

GCF(832,656) x common factors =16 x 1 = 16

LCM(832,656) = ( 832 × 656 ) / 16

LCM(832,656) = 545792 / 16

LCM(832,656) = 34112

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FAQs on GCF of Fractions of 2924/832, 6727/656

1. What is the HCF of 2924,6727?

The HCF of 2924,6727 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 2924/832, 6727/656?

Answer: GCF of Numerators as per given numbers 2924/832, 6727/656 is

GCF of Numerators i.e. for 2924,6727 is 1

LCM of denominators i.e. for 832,656 is 34112.

Thus, GCF of Fractions is 1/34112.Finally, GCF of Fractions for 2924/832, 6727/656 is 1/34112.