How to Find GCF of 8978/975, 9298/931?

GCF of 8978/975, 9298/931

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 8978/975, 9298/931 i.e 2/907725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8978/975, 9298/931.

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 8978/975,9298/931?

Given fractions are 8978/975,9298/931

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 8978/975,9298/931, numerators are 8978,9298

Denominators are 975,931

The GCF of 8978,9298 is 2 .

LCM of 975,931 is 907725.

The greatest common factor of 8978/975,9298/931 = [GCF of 8978,9298]/[LCM of 975,931]= 2/907725

Therefore, the GCF of 8978/975,9298/931 is 2/907725.

Greatest Common Factor of 8978,9298

To find the highest common factor of 8978,9298, we have to find the factors of both numbers and list the highest common factor.

The factors of 8978 are 1, 2, 67, 134, 4489, 8978

The factors of 9298 are 1, 2, 4649, 9298

The HCF of 8978,9298 is 2.

Lets's calculate GCF of 8978,9298

Greatest Common Factor (GCF) of 8978,9298 By Common Division

2	8978, 9298
	4489, 4649

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

Greatest Common Factor of 8978,9298 By Matching Biggest Common Factor Method

Now, list down the factors of 8978

1,2,67,134,4489,8978

Now, list down the factors of 9298

1,2,4649,9298

Greatest Common Factor

We found the factors 8978,9298 . The biggest common factor number is the GCF number.
So the greatest common factor 8978,9298 is 2.

Lets's calculate LCM of 975,931

Lowest Common Multiple of 975,931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 907725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/907725

Therefore, the GCF of Fractions 8978/975,9298/931 is 2/907725

Least Common Multiple of 975,931 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 975,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,931) = 1

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

GCF(975,931) x common factors =1 x 1 = 1

LCM(975,931) = ( 975 × 931 ) / 1

LCM(975,931) = 907725 / 1

LCM(975,931) = 907725

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FAQs on GCF of Fractions of 8978/975, 9298/931

1. What is the HCF of 8978,9298?

The HCF of 8978,9298 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 8978/975, 9298/931?

Answer: GCF of Numerators as per given numbers 8978/975, 9298/931 is

GCF of Numerators i.e. for 8978,9298 is 2

LCM of denominators i.e. for 975,931 is 907725.

Thus, GCF of Fractions is 2/907725.Finally, GCF of Fractions for 8978/975, 9298/931 is 2/907725.