How to Find GCF of 8377/514, 2079/9765?

GCF of 8377/514, 2079/9765

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 8377/514, 2079/9765 i.e 1/5019210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8377/514, 2079/9765.

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 8377/514,2079/9765?

Given fractions are 8377/514,2079/9765

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 8377/514,2079/9765, numerators are 8377,2079

Denominators are 514,9765

The GCF of 8377,2079 is 1 .

LCM of 514,9765 is 5019210.

The greatest common factor of 8377/514,2079/9765 = [GCF of 8377,2079]/[LCM of 514,9765]= 1/5019210

Therefore, the GCF of 8377/514,2079/9765 is 1/5019210.

Greatest Common Factor of 8377,2079

To find the highest common factor of 8377,2079, we have to find the factors of both numbers and list the highest common factor.

The factors of 8377 are 1, 8377

The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079

The HCF of 8377,2079 is 1.

Lets's calculate GCF of 8377,2079

Greatest Common Factor (GCF) of 8377,2079 By Common Division

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

Greatest Common Factor of 8377,2079 By Matching Biggest Common Factor Method

Now, list down the factors of 8377

1,8377

Now, list down the factors of 2079

1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079

Greatest Common Factor

We found the factors 8377,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 8377,2079 is 1.

Lets's calculate LCM of 514,9765

Lowest Common Multiple of 514,9765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5019210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5019210

Therefore, the GCF of Fractions 8377/514,2079/9765 is 1/5019210

Least Common Multiple of 514,9765 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 514,9765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,9765) = 1

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

GCF(514,9765) x common factors =1 x 1 = 1

LCM(514,9765) = ( 514 × 9765 ) / 1

LCM(514,9765) = 5019210 / 1

LCM(514,9765) = 5019210

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FAQs on GCF of Fractions of 8377/514, 2079/9765

1. What is the HCF of 8377,2079?

The HCF of 8377,2079 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 8377/514, 2079/9765?

Answer: GCF of Numerators as per given numbers 8377/514, 2079/9765 is

GCF of Numerators i.e. for 8377,2079 is 1

LCM of denominators i.e. for 514,9765 is 5019210.

Thus, GCF of Fractions is 1/5019210.Finally, GCF of Fractions for 8377/514, 2079/9765 is 1/5019210.