How to Find GCF of 908/852, 132/997?

GCF of 908/852, 132/997

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 908/852, 132/997 i.e 4/849444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/852, 132/997.

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 908/852,132/997?

Given fractions are 908/852,132/997

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 908/852,132/997, numerators are 908,132

Denominators are 852,997

The GCF of 908,132 is 4 .

LCM of 852,997 is 849444.

The greatest common factor of 908/852,132/997 = [GCF of 908,132]/[LCM of 852,997]= 4/849444

Therefore, the GCF of 908/852,132/997 is 4/849444.

Greatest Common Factor of 908,132

To find the highest common factor of 908,132, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The HCF of 908,132 is 4.

Lets's calculate GCF of 908,132

Greatest Common Factor (GCF) of 908,132 By Common Division

2	908, 132
2	454, 66
	227, 33

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 908,132 By Matching Biggest Common Factor Method

Now, list down the factors of 908

1,2,4,227,454,908

Now, list down the factors of 132

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 908,132 . The biggest common factor number is the GCF number.
So the greatest common factor 908,132 is 4.

Lets's calculate LCM of 852,997

Lowest Common Multiple of 852,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 849444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/849444

Therefore, the GCF of Fractions 908/852,132/997 is 4/849444

Least Common Multiple of 852,997 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 852,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,997) = 1

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

GCF(852,997) x common factors =1 x 1 = 1

LCM(852,997) = ( 852 × 997 ) / 1

LCM(852,997) = 849444 / 1

LCM(852,997) = 849444

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FAQs on GCF of Fractions of 908/852, 132/997

1. What is the HCF of 908,132?

The HCF of 908,132 is 4

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 908/852, 132/997?

Answer: GCF of Numerators as per given numbers 908/852, 132/997 is

GCF of Numerators i.e. for 908,132 is 4

LCM of denominators i.e. for 852,997 is 849444.

Thus, GCF of Fractions is 4/849444.Finally, GCF of Fractions for 908/852, 132/997 is 4/849444.