How to Find GCF of 2683/796, 6391/224?

GCF of 2683/796, 6391/224

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 2683/796, 6391/224 i.e 1/44576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2683/796, 6391/224.

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 2683/796,6391/224?

Given fractions are 2683/796,6391/224

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 2683/796,6391/224, numerators are 2683,6391

Denominators are 796,224

The GCF of 2683,6391 is 1 .

LCM of 796,224 is 44576.

The greatest common factor of 2683/796,6391/224 = [GCF of 2683,6391]/[LCM of 796,224]= 1/44576

Therefore, the GCF of 2683/796,6391/224 is 1/44576.

Greatest Common Factor of 2683,6391

To find the highest common factor of 2683,6391, we have to find the factors of both numbers and list the highest common factor.

The factors of 2683 are 1, 2683

The factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391

The HCF of 2683,6391 is 1.

Lets's calculate GCF of 2683,6391

Greatest Common Factor (GCF) of 2683,6391 By Common Division

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

Greatest Common Factor of 2683,6391 By Matching Biggest Common Factor Method

Now, list down the factors of 2683

1,2683

Now, list down the factors of 6391

1,7,11,77,83,581,913,6391

Greatest Common Factor

We found the factors 2683,6391 . The biggest common factor number is the GCF number.
So the greatest common factor 2683,6391 is 1.

Lets's calculate LCM of 796,224

Lowest Common Multiple of 796,224 using Common Division

2	796, 224
2	398, 112
	199, 56

∴ So the LCM of the given numbers is 2 x 2 x 199 x 56 = 44576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44576

Therefore, the GCF of Fractions 2683/796,6391/224 is 1/44576

Least Common Multiple of 796,224 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 796,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,224) = 4

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

GCF(796,224) x common factors =4 x 1 = 4

LCM(796,224) = ( 796 × 224 ) / 4

LCM(796,224) = 178304 / 4

LCM(796,224) = 44576

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FAQs on GCF of Fractions of 2683/796, 6391/224

1. What is the HCF of 2683,6391?

The HCF of 2683,6391 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 2683/796, 6391/224?

Answer: GCF of Numerators as per given numbers 2683/796, 6391/224 is

GCF of Numerators i.e. for 2683,6391 is 1

LCM of denominators i.e. for 796,224 is 44576.

Thus, GCF of Fractions is 1/44576.Finally, GCF of Fractions for 2683/796, 6391/224 is 1/44576.