How to Find GCF of 972/872, 608/952?

GCF of 972/872, 608/952

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 972/872, 608/952 i.e 4/103768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 972/872, 608/952.

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 972/872,608/952?

Given fractions are 972/872,608/952

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 972/872,608/952, numerators are 972,608

Denominators are 872,952

The GCF of 972,608 is 4 .

LCM of 872,952 is 103768.

The greatest common factor of 972/872,608/952 = [GCF of 972,608]/[LCM of 872,952]= 4/103768

Therefore, the GCF of 972/872,608/952 is 4/103768.

Greatest Common Factor of 972,608

To find the highest common factor of 972,608, we have to find the factors of both numbers and list the highest common factor.

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

The HCF of 972,608 is 4.

Lets's calculate GCF of 972,608

Greatest Common Factor (GCF) of 972,608 By Common Division

2	972, 608
2	486, 304
	243, 152

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

Greatest Common Factor of 972,608 By Matching Biggest Common Factor Method

Now, list down the factors of 972

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Now, list down the factors of 608

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 972,608 . The biggest common factor number is the GCF number.
So the greatest common factor 972,608 is 4.

Lets's calculate LCM of 872,952

Lowest Common Multiple of 872,952 using Common Division

2	872, 952
2	436, 476
2	218, 238
	109, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 119 = 103768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/103768

Therefore, the GCF of Fractions 972/872,608/952 is 4/103768

Least Common Multiple of 872,952 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 872,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,952) = 8

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

GCF(872,952) x common factors =8 x 1 = 8

LCM(872,952) = ( 872 × 952 ) / 8

LCM(872,952) = 830144 / 8

LCM(872,952) = 103768

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FAQs on GCF of Fractions of 972/872, 608/952

1. What is the HCF of 972,608?

The HCF of 972,608 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 972/872, 608/952?

Answer: GCF of Numerators as per given numbers 972/872, 608/952 is

GCF of Numerators i.e. for 972,608 is 4

LCM of denominators i.e. for 872,952 is 103768.

Thus, GCF of Fractions is 4/103768.Finally, GCF of Fractions for 972/872, 608/952 is 4/103768.