How to Find GCF of 1161/627, 6797/8390?

GCF of 1161/627, 6797/8390

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 1161/627, 6797/8390 i.e 1/5260530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1161/627, 6797/8390.

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 1161/627,6797/8390?

Given fractions are 1161/627,6797/8390

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 1161/627,6797/8390, numerators are 1161,6797

Denominators are 627,8390

The GCF of 1161,6797 is 1 .

LCM of 627,8390 is 5260530.

The greatest common factor of 1161/627,6797/8390 = [GCF of 1161,6797]/[LCM of 627,8390]= 1/5260530

Therefore, the GCF of 1161/627,6797/8390 is 1/5260530.

Greatest Common Factor of 1161,6797

To find the highest common factor of 1161,6797, we have to find the factors of both numbers and list the highest common factor.

The factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161

The factors of 6797 are 1, 7, 971, 6797

The HCF of 1161,6797 is 1.

Lets's calculate GCF of 1161,6797

Greatest Common Factor (GCF) of 1161,6797 By Common Division

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

Greatest Common Factor of 1161,6797 By Matching Biggest Common Factor Method

Now, list down the factors of 1161

1,3,9,27,43,129,387,1161

Now, list down the factors of 6797

1,7,971,6797

Greatest Common Factor

We found the factors 1161,6797 . The biggest common factor number is the GCF number.
So the greatest common factor 1161,6797 is 1.

Lets's calculate LCM of 627,8390

Lowest Common Multiple of 627,8390 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5260530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5260530

Therefore, the GCF of Fractions 1161/627,6797/8390 is 1/5260530

Least Common Multiple of 627,8390 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 627,8390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,8390) = 1

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

GCF(627,8390) x common factors =1 x 1 = 1

LCM(627,8390) = ( 627 × 8390 ) / 1

LCM(627,8390) = 5260530 / 1

LCM(627,8390) = 5260530

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FAQs on GCF of Fractions of 1161/627, 6797/8390

1. What is the HCF of 1161,6797?

The HCF of 1161,6797 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 1161/627, 6797/8390?

Answer: GCF of Numerators as per given numbers 1161/627, 6797/8390 is

GCF of Numerators i.e. for 1161,6797 is 1

LCM of denominators i.e. for 627,8390 is 5260530.

Thus, GCF of Fractions is 1/5260530.Finally, GCF of Fractions for 1161/627, 6797/8390 is 1/5260530.