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GCF of 922/21, 938/698

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 922/21, 938/698 i.e 2/14658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/21, 938/698.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 922/21,938/698?

Given fractions are 922/21,938/698

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 922/21,938/698, numerators are 922,938

Denominators are 21,698

The GCF of 922,938 is 2 .

LCM of 21,698 is 14658.

The greatest common factor of 922/21,938/698 = [GCF of 922,938]/[LCM of 21,698]= 2/14658

Therefore, the GCF of 922/21,938/698 is 2/14658.

Greatest Common Factor of 922,938

To find the highest common factor of 922,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 922 are 1, 2, 461, 922

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 922,938 is 2.

Lets's calculate GCF of 922,938

Greatest Common Factor (GCF) of 922,938 By Common Division

2 922, 938
461, 469

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

Greatest Common Factor of 922,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,938 By Matching Biggest Common Factor Method

Now, list down the factors of 922

:

1,2,461,922

Now, list down the factors of 938

:

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 922,938 . The biggest common factor number is the GCF number.
So the greatest common factor 922,938 is 2.

Lets's calculate LCM of 21,698

Lowest Common Multiple of 21,698 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14658

Therefore, the GCF of Fractions 922/21,938/698 is 2/14658

Least Common Multiple of 21,698 with GCF Formula

Least Common Multiple of 21,698 with GCF Formula

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

We need to calculate greatest common factor of 21,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,698) = 1

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

GCF(21,698) x common factors =1 x 1 = 1

LCM(21,698) = ( 21 × 698 ) / 1

LCM(21,698) = 14658 / 1

LCM(21,698) = 14658


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FAQs on GCF of Fractions of 922/21, 938/698

1. What is the HCF of 922,938?

The HCF of 922,938 is 2

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 922/21, 938/698?

Answer: GCF of Numerators as per given numbers 922/21, 938/698 is

GCF of Numerators i.e. for 922,938 is 2

LCM of denominators i.e. for 21,698 is 14658.

Thus, GCF of Fractions is 2/14658.Finally, GCF of Fractions for 922/21, 938/698 is 2/14658.