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GCF of 9411/972, 1153/872

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 9411/972, 1153/872 i.e 1/211896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9411/972, 1153/872.

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 9411/972,1153/872?

Given fractions are 9411/972,1153/872

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 9411/972,1153/872, numerators are 9411,1153

Denominators are 972,872

The GCF of 9411,1153 is 1 .

LCM of 972,872 is 211896.

The greatest common factor of 9411/972,1153/872 = [GCF of 9411,1153]/[LCM of 972,872]= 1/211896

Therefore, the GCF of 9411/972,1153/872 is 1/211896.

Greatest Common Factor of 9411,1153

To find the highest common factor of 9411,1153, we have to find the factors of both numbers and list the highest common factor.

The factors of 9411 are 1, 3, 3137, 9411

The factors of 1153 are 1, 1153

The HCF of 9411,1153 is 1.

Lets's calculate GCF of 9411,1153

Greatest Common Factor (GCF) of 9411,1153 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9411,1153 By Matching Biggest Common Factor Method

Greatest Common Factor of 9411,1153 By Matching Biggest Common Factor Method

Now, list down the factors of 9411

:

1,3,3137,9411

Now, list down the factors of 1153

:

1,1153

Greatest Common Factor

We found the factors 9411,1153 . The biggest common factor number is the GCF number.
So the greatest common factor 9411,1153 is 1.

Lets's calculate LCM of 972,872

Lowest Common Multiple of 972,872 using Common Division

2 972, 872
2 486, 436
243, 218

∴ So the LCM of the given numbers is 2 x 2 x 243 x 218 = 211896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211896

Therefore, the GCF of Fractions 9411/972,1153/872 is 1/211896

Least Common Multiple of 972,872 with GCF Formula

Least Common Multiple of 972,872 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 972,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,872) = 4

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

GCF(972,872) x common factors =4 x 1 = 4

LCM(972,872) = ( 972 × 872 ) / 4

LCM(972,872) = 847584 / 4

LCM(972,872) = 211896


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FAQs on GCF of Fractions of 9411/972, 1153/872

1. What is the HCF of 9411,1153?

The HCF of 9411,1153 is 1

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 9411/972, 1153/872?

Answer: GCF of Numerators as per given numbers 9411/972, 1153/872 is

GCF of Numerators i.e. for 9411,1153 is 1

LCM of denominators i.e. for 972,872 is 211896.

Thus, GCF of Fractions is 1/211896.Finally, GCF of Fractions for 9411/972, 1153/872 is 1/211896.