How to Find GCF of 7709/956, 9378/1361?

GCF of 7709/956, 9378/1361

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 7709/956, 9378/1361 i.e 1/1301116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7709/956, 9378/1361.

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 7709/956,9378/1361?

Given fractions are 7709/956,9378/1361

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 7709/956,9378/1361, numerators are 7709,9378

Denominators are 956,1361

The GCF of 7709,9378 is 1 .

LCM of 956,1361 is 1301116.

The greatest common factor of 7709/956,9378/1361 = [GCF of 7709,9378]/[LCM of 956,1361]= 1/1301116

Therefore, the GCF of 7709/956,9378/1361 is 1/1301116.

Greatest Common Factor of 7709,9378

To find the highest common factor of 7709,9378, we have to find the factors of both numbers and list the highest common factor.

The factors of 7709 are 1, 13, 593, 7709

The factors of 9378 are 1, 2, 3, 6, 9, 18, 521, 1042, 1563, 3126, 4689, 9378

The HCF of 7709,9378 is 1.

Lets's calculate GCF of 7709,9378

Greatest Common Factor (GCF) of 7709,9378 By Common Division

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

Greatest Common Factor of 7709,9378 By Matching Biggest Common Factor Method

Now, list down the factors of 7709

1,13,593,7709

Now, list down the factors of 9378

1,2,3,6,9,18,521,1042,1563,3126,4689,9378

Greatest Common Factor

We found the factors 7709,9378 . The biggest common factor number is the GCF number.
So the greatest common factor 7709,9378 is 1.

Lets's calculate LCM of 956,1361

Lowest Common Multiple of 956,1361 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1301116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301116

Therefore, the GCF of Fractions 7709/956,9378/1361 is 1/1301116

Least Common Multiple of 956,1361 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 956,1361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,1361) = 1

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

GCF(956,1361) x common factors =1 x 1 = 1

LCM(956,1361) = ( 956 × 1361 ) / 1

LCM(956,1361) = 1301116 / 1

LCM(956,1361) = 1301116

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7709/956, 9378/1361

1. What is the HCF of 7709,9378?

The HCF of 7709,9378 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 7709/956, 9378/1361?

Answer: GCF of Numerators as per given numbers 7709/956, 9378/1361 is

GCF of Numerators i.e. for 7709,9378 is 1

LCM of denominators i.e. for 956,1361 is 1301116.

Thus, GCF of Fractions is 1/1301116.Finally, GCF of Fractions for 7709/956, 9378/1361 is 1/1301116.