How to Find GCF of 2962/368, 7269/872?

GCF of 2962/368, 7269/872

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 2962/368, 7269/872 i.e 1/40112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2962/368, 7269/872.

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 2962/368,7269/872?

Given fractions are 2962/368,7269/872

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 2962/368,7269/872, numerators are 2962,7269

Denominators are 368,872

The GCF of 2962,7269 is 1 .

LCM of 368,872 is 40112.

The greatest common factor of 2962/368,7269/872 = [GCF of 2962,7269]/[LCM of 368,872]= 1/40112

Therefore, the GCF of 2962/368,7269/872 is 1/40112.

Greatest Common Factor of 2962,7269

To find the highest common factor of 2962,7269, we have to find the factors of both numbers and list the highest common factor.

The factors of 2962 are 1, 2, 1481, 2962

The factors of 7269 are 1, 3, 2423, 7269

The HCF of 2962,7269 is 1.

Lets's calculate GCF of 2962,7269

Greatest Common Factor (GCF) of 2962,7269 By Common Division

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

Greatest Common Factor of 2962,7269 By Matching Biggest Common Factor Method

Now, list down the factors of 2962

1,2,1481,2962

Now, list down the factors of 7269

1,3,2423,7269

Greatest Common Factor

We found the factors 2962,7269 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,7269 is 1.

Lets's calculate LCM of 368,872

Lowest Common Multiple of 368,872 using Common Division

2	368, 872
2	184, 436
2	92, 218
	46, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 109 = 40112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40112

Therefore, the GCF of Fractions 2962/368,7269/872 is 1/40112

Least Common Multiple of 368,872 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 368,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,872) = 8

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

GCF(368,872) x common factors =8 x 1 = 8

LCM(368,872) = ( 368 × 872 ) / 8

LCM(368,872) = 320896 / 8

LCM(368,872) = 40112

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FAQs on GCF of Fractions of 2962/368, 7269/872

1. What is the HCF of 2962,7269?

The HCF of 2962,7269 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 2962/368, 7269/872?

Answer: GCF of Numerators as per given numbers 2962/368, 7269/872 is

GCF of Numerators i.e. for 2962,7269 is 1

LCM of denominators i.e. for 368,872 is 40112.

Thus, GCF of Fractions is 1/40112.Finally, GCF of Fractions for 2962/368, 7269/872 is 1/40112.