How to Find GCF of 3709/931, 9313/2738?

GCF of 3709/931, 9313/2738

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 3709/931, 9313/2738 i.e 1/2549078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3709/931, 9313/2738.

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 3709/931,9313/2738?

Given fractions are 3709/931,9313/2738

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 3709/931,9313/2738, numerators are 3709,9313

Denominators are 931,2738

The GCF of 3709,9313 is 1 .

LCM of 931,2738 is 2549078.

The greatest common factor of 3709/931,9313/2738 = [GCF of 3709,9313]/[LCM of 931,2738]= 1/2549078

Therefore, the GCF of 3709/931,9313/2738 is 1/2549078.

Greatest Common Factor of 3709,9313

To find the highest common factor of 3709,9313, we have to find the factors of both numbers and list the highest common factor.

The factors of 3709 are 1, 3709

The factors of 9313 are 1, 67, 139, 9313

The HCF of 3709,9313 is 1.

Lets's calculate GCF of 3709,9313

Greatest Common Factor (GCF) of 3709,9313 By Common Division

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

Greatest Common Factor of 3709,9313 By Matching Biggest Common Factor Method

Now, list down the factors of 3709

1,3709

Now, list down the factors of 9313

1,67,139,9313

Greatest Common Factor

We found the factors 3709,9313 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,9313 is 1.

Lets's calculate LCM of 931,2738

Lowest Common Multiple of 931,2738 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2549078

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2549078

Therefore, the GCF of Fractions 3709/931,9313/2738 is 1/2549078

Least Common Multiple of 931,2738 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 931,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,2738) = 1

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

GCF(931,2738) x common factors =1 x 1 = 1

LCM(931,2738) = ( 931 × 2738 ) / 1

LCM(931,2738) = 2549078 / 1

LCM(931,2738) = 2549078

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FAQs on GCF of Fractions of 3709/931, 9313/2738

1. What is the HCF of 3709,9313?

The HCF of 3709,9313 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 3709/931, 9313/2738?

Answer: GCF of Numerators as per given numbers 3709/931, 9313/2738 is

GCF of Numerators i.e. for 3709,9313 is 1

LCM of denominators i.e. for 931,2738 is 2549078.

Thus, GCF of Fractions is 1/2549078.Finally, GCF of Fractions for 3709/931, 9313/2738 is 1/2549078.