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GCF of 962/455, 8756/178

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 962/455, 8756/178 i.e 2/80990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/455, 8756/178.

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 962/455,8756/178?

Given fractions are 962/455,8756/178

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 962/455,8756/178, numerators are 962,8756

Denominators are 455,178

The GCF of 962,8756 is 2 .

LCM of 455,178 is 80990.

The greatest common factor of 962/455,8756/178 = [GCF of 962,8756]/[LCM of 455,178]= 2/80990

Therefore, the GCF of 962/455,8756/178 is 2/80990.

Greatest Common Factor of 962,8756

To find the highest common factor of 962,8756, 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 8756 are 1, 2, 4, 11, 22, 44, 199, 398, 796, 2189, 4378, 8756

The HCF of 962,8756 is 2.

Lets's calculate GCF of 962,8756

Greatest Common Factor (GCF) of 962,8756 By Common Division

2 962, 8756
481, 4378

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

Greatest Common Factor of 962,8756 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,8756 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 8756

:

1,2,4,11,22,44,199,398,796,2189,4378,8756

Greatest Common Factor

We found the factors 962,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 962,8756 is 2.

Lets's calculate LCM of 455,178

Lowest Common Multiple of 455,178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 80990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80990

Therefore, the GCF of Fractions 962/455,8756/178 is 2/80990

Least Common Multiple of 455,178 with GCF Formula

Least Common Multiple of 455,178 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 455,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,178) = 1

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

GCF(455,178) x common factors =1 x 1 = 1

LCM(455,178) = ( 455 × 178 ) / 1

LCM(455,178) = 80990 / 1

LCM(455,178) = 80990


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FAQs on GCF of Fractions of 962/455, 8756/178

1. What is the HCF of 962,8756?

The HCF of 962,8756 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 962/455, 8756/178?

Answer: GCF of Numerators as per given numbers 962/455, 8756/178 is

GCF of Numerators i.e. for 962,8756 is 2

LCM of denominators i.e. for 455,178 is 80990.

Thus, GCF of Fractions is 2/80990.Finally, GCF of Fractions for 962/455, 8756/178 is 2/80990.