How to Find GCF of 962/73, 676/9368?

GCF of 962/73, 676/9368

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 962/73, 676/9368 i.e 26/683864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/73, 676/9368.

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 962/73,676/9368?

Given fractions are 962/73,676/9368

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 962/73,676/9368, numerators are 962,676

Denominators are 73,9368

The GCF of 962,676 is 26 .

LCM of 73,9368 is 683864.

The greatest common factor of 962/73,676/9368 = [GCF of 962,676]/[LCM of 73,9368]= 26/683864

Therefore, the GCF of 962/73,676/9368 is 26/683864.

Greatest Common Factor of 962,676

To find the highest common factor of 962,676, we have to find the factors of both numbers and list the highest common factor.

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676

The HCF of 962,676 is 26.

Lets's calculate GCF of 962,676

Greatest Common Factor (GCF) of 962,676 By Common Division

2	962, 676
13	481, 338
	37, 26

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 962,676 By Matching Biggest Common Factor Method

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Now, list down the factors of 676

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 962,676 . The biggest common factor number is the GCF number.
So the greatest common factor 962,676 is 26.

Lets's calculate LCM of 73,9368

Lowest Common Multiple of 73,9368 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 683864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/683864

Therefore, the GCF of Fractions 962/73,676/9368 is 26/683864

Least Common Multiple of 73,9368 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 73,9368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,9368) = 1

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

GCF(73,9368) x common factors =1 x 1 = 1

LCM(73,9368) = ( 73 × 9368 ) / 1

LCM(73,9368) = 683864 / 1

LCM(73,9368) = 683864

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FAQs on GCF of Fractions of 962/73, 676/9368

1. What is the HCF of 962,676?

The HCF of 962,676 is 26

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 962/73, 676/9368?

Answer: GCF of Numerators as per given numbers 962/73, 676/9368 is

GCF of Numerators i.e. for 962,676 is 26

LCM of denominators i.e. for 73,9368 is 683864.

Thus, GCF of Fractions is 26/683864.Finally, GCF of Fractions for 962/73, 676/9368 is 26/683864.