How to Find GCF of 9370/654, 2317/7981?

GCF of 9370/654, 2317/7981

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 9370/654, 2317/7981 i.e 1/5219574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9370/654, 2317/7981.

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 9370/654,2317/7981?

Given fractions are 9370/654,2317/7981

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 9370/654,2317/7981, numerators are 9370,2317

Denominators are 654,7981

The GCF of 9370,2317 is 1 .

LCM of 654,7981 is 5219574.

The greatest common factor of 9370/654,2317/7981 = [GCF of 9370,2317]/[LCM of 654,7981]= 1/5219574

Therefore, the GCF of 9370/654,2317/7981 is 1/5219574.

Greatest Common Factor of 9370,2317

To find the highest common factor of 9370,2317, we have to find the factors of both numbers and list the highest common factor.

The factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370

The factors of 2317 are 1, 7, 331, 2317

The HCF of 9370,2317 is 1.

Lets's calculate GCF of 9370,2317

Greatest Common Factor (GCF) of 9370,2317 By Common Division

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

Greatest Common Factor of 9370,2317 By Matching Biggest Common Factor Method

Now, list down the factors of 9370

1,2,5,10,937,1874,4685,9370

Now, list down the factors of 2317

1,7,331,2317

Greatest Common Factor

We found the factors 9370,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 9370,2317 is 1.

Lets's calculate LCM of 654,7981

Lowest Common Multiple of 654,7981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5219574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5219574

Therefore, the GCF of Fractions 9370/654,2317/7981 is 1/5219574

Least Common Multiple of 654,7981 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 654,7981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,7981) = 1

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

GCF(654,7981) x common factors =1 x 1 = 1

LCM(654,7981) = ( 654 × 7981 ) / 1

LCM(654,7981) = 5219574 / 1

LCM(654,7981) = 5219574

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FAQs on GCF of Fractions of 9370/654, 2317/7981

1. What is the HCF of 9370,2317?

The HCF of 9370,2317 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 9370/654, 2317/7981?

Answer: GCF of Numerators as per given numbers 9370/654, 2317/7981 is

GCF of Numerators i.e. for 9370,2317 is 1

LCM of denominators i.e. for 654,7981 is 5219574.

Thus, GCF of Fractions is 1/5219574.Finally, GCF of Fractions for 9370/654, 2317/7981 is 1/5219574.