How to Find GCF of 24/647, 1276/5649?

GCF of 24/647, 1276/5649

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 24/647, 1276/5649 i.e 4/3654903 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/647, 1276/5649.

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 24/647,1276/5649?

Given fractions are 24/647,1276/5649

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 24/647,1276/5649, numerators are 24,1276

Denominators are 647,5649

The GCF of 24,1276 is 4 .

LCM of 647,5649 is 3654903.

The greatest common factor of 24/647,1276/5649 = [GCF of 24,1276]/[LCM of 647,5649]= 4/3654903

Therefore, the GCF of 24/647,1276/5649 is 4/3654903.

Greatest Common Factor of 24,1276

To find the highest common factor of 24,1276, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276

The HCF of 24,1276 is 4.

Lets's calculate GCF of 24,1276

Greatest Common Factor (GCF) of 24,1276 By Common Division

2	24, 1276
2	12, 638
	6, 319

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 24,1276 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 1276

1,2,4,11,22,29,44,58,116,319,638,1276

Greatest Common Factor

We found the factors 24,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 24,1276 is 4.

Lets's calculate LCM of 647,5649

Lowest Common Multiple of 647,5649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3654903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3654903

Therefore, the GCF of Fractions 24/647,1276/5649 is 4/3654903

Least Common Multiple of 647,5649 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 647,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,5649) = 1

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

GCF(647,5649) x common factors =1 x 1 = 1

LCM(647,5649) = ( 647 × 5649 ) / 1

LCM(647,5649) = 3654903 / 1

LCM(647,5649) = 3654903

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FAQs on GCF of Fractions of 24/647, 1276/5649

1. What is the HCF of 24,1276?

The HCF of 24,1276 is 4

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 24/647, 1276/5649?

Answer: GCF of Numerators as per given numbers 24/647, 1276/5649 is

GCF of Numerators i.e. for 24,1276 is 4

LCM of denominators i.e. for 647,5649 is 3654903.

Thus, GCF of Fractions is 4/3654903.Finally, GCF of Fractions for 24/647, 1276/5649 is 4/3654903.