How to Find GCF of 916/648, 156/949?

GCF of 916/648, 156/949

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 916/648, 156/949 i.e 4/614952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 916/648, 156/949.

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 916/648,156/949?

Given fractions are 916/648,156/949

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 916/648,156/949, numerators are 916,156

Denominators are 648,949

The GCF of 916,156 is 4 .

LCM of 648,949 is 614952.

The greatest common factor of 916/648,156/949 = [GCF of 916,156]/[LCM of 648,949]= 4/614952

Therefore, the GCF of 916/648,156/949 is 4/614952.

Greatest Common Factor of 916,156

To find the highest common factor of 916,156, we have to find the factors of both numbers and list the highest common factor.

The factors of 916 are 1, 2, 4, 229, 458, 916

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The HCF of 916,156 is 4.

Lets's calculate GCF of 916,156

Greatest Common Factor (GCF) of 916,156 By Common Division

2	916, 156
2	458, 78
	229, 39

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

Greatest Common Factor of 916,156 By Matching Biggest Common Factor Method

Now, list down the factors of 916

1,2,4,229,458,916

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 916,156 . The biggest common factor number is the GCF number.
So the greatest common factor 916,156 is 4.

Lets's calculate LCM of 648,949

Lowest Common Multiple of 648,949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 614952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/614952

Therefore, the GCF of Fractions 916/648,156/949 is 4/614952

Least Common Multiple of 648,949 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 648,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,949) = 1

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

GCF(648,949) x common factors =1 x 1 = 1

LCM(648,949) = ( 648 × 949 ) / 1

LCM(648,949) = 614952 / 1

LCM(648,949) = 614952

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FAQs on GCF of Fractions of 916/648, 156/949

1. What is the HCF of 916,156?

The HCF of 916,156 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 916/648, 156/949?

Answer: GCF of Numerators as per given numbers 916/648, 156/949 is

GCF of Numerators i.e. for 916,156 is 4

LCM of denominators i.e. for 648,949 is 614952.

Thus, GCF of Fractions is 4/614952.Finally, GCF of Fractions for 916/648, 156/949 is 4/614952.