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GCF of 966/90, 938/708

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 966/90, 938/708 i.e 14/10620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/90, 938/708.

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 966/90,938/708?

Given fractions are 966/90,938/708

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 966/90,938/708, numerators are 966,938

Denominators are 90,708

The GCF of 966,938 is 14 .

LCM of 90,708 is 10620.

The greatest common factor of 966/90,938/708 = [GCF of 966,938]/[LCM of 90,708]= 14/10620

Therefore, the GCF of 966/90,938/708 is 14/10620.

Greatest Common Factor of 966,938

To find the highest common factor of 966,938, we have to find the factors of both numbers and list the highest common factor.

The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

The HCF of 966,938 is 14.

Lets's calculate GCF of 966,938

Greatest Common Factor (GCF) of 966,938 By Common Division

2 966, 938
7 483, 469
69, 67

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 966,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,938 By Matching Biggest Common Factor Method

Now, list down the factors of 966

:

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Now, list down the factors of 938

:

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

Greatest Common Factor

We found the factors 966,938 . The biggest common factor number is the GCF number.
So the greatest common factor 966,938 is 14.

Lets's calculate LCM of 90,708

Lowest Common Multiple of 90,708 using Common Division

2 90, 708
3 45, 354
15, 118

∴ So the LCM of the given numbers is 2 x 3 x 15 x 118 = 10620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/10620

Therefore, the GCF of Fractions 966/90,938/708 is 14/10620

Least Common Multiple of 90,708 with GCF Formula

Least Common Multiple of 90,708 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 90,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,708) = 6

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

GCF(90,708) x common factors =6 x 1 = 6

LCM(90,708) = ( 90 × 708 ) / 6

LCM(90,708) = 63720 / 6

LCM(90,708) = 10620


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FAQs on GCF of Fractions of 966/90, 938/708

1. What is the HCF of 966,938?

The HCF of 966,938 is 14

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 966/90, 938/708?

Answer: GCF of Numerators as per given numbers 966/90, 938/708 is

GCF of Numerators i.e. for 966,938 is 14

LCM of denominators i.e. for 90,708 is 10620.

Thus, GCF of Fractions is 14/10620.Finally, GCF of Fractions for 966/90, 938/708 is 14/10620.