How to Find GCF of 9377/242, 2091/9670?

GCF of 9377/242, 2091/9670

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 9377/242, 2091/9670 i.e 1/1170070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9377/242, 2091/9670.

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 9377/242,2091/9670?

Given fractions are 9377/242,2091/9670

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 9377/242,2091/9670, numerators are 9377,2091

Denominators are 242,9670

The GCF of 9377,2091 is 1 .

LCM of 242,9670 is 1170070.

The greatest common factor of 9377/242,2091/9670 = [GCF of 9377,2091]/[LCM of 242,9670]= 1/1170070

Therefore, the GCF of 9377/242,2091/9670 is 1/1170070.

Greatest Common Factor of 9377,2091

To find the highest common factor of 9377,2091, we have to find the factors of both numbers and list the highest common factor.

The factors of 9377 are 1, 9377

The factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091

The HCF of 9377,2091 is 1.

Lets's calculate GCF of 9377,2091

Greatest Common Factor (GCF) of 9377,2091 By Common Division

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

Greatest Common Factor of 9377,2091 By Matching Biggest Common Factor Method

Now, list down the factors of 9377

1,9377

Now, list down the factors of 2091

1,3,17,41,51,123,697,2091

Greatest Common Factor

We found the factors 9377,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,2091 is 1.

Lets's calculate LCM of 242,9670

Lowest Common Multiple of 242,9670 using Common Division

2	242, 9670
	121, 4835

∴ So the LCM of the given numbers is 2 x 121 x 4835 = 1170070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1170070

Therefore, the GCF of Fractions 9377/242,2091/9670 is 1/1170070

Least Common Multiple of 242,9670 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 242,9670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,9670) = 2

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

GCF(242,9670) x common factors =2 x 1 = 2

LCM(242,9670) = ( 242 × 9670 ) / 2

LCM(242,9670) = 2340140 / 2

LCM(242,9670) = 1170070

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FAQs on GCF of Fractions of 9377/242, 2091/9670

1. What is the HCF of 9377,2091?

The HCF of 9377,2091 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 9377/242, 2091/9670?

Answer: GCF of Numerators as per given numbers 9377/242, 2091/9670 is

GCF of Numerators i.e. for 9377,2091 is 1

LCM of denominators i.e. for 242,9670 is 1170070.

Thus, GCF of Fractions is 1/1170070.Finally, GCF of Fractions for 9377/242, 2091/9670 is 1/1170070.