How to Find GCF of 2086/675, 7277/8504?

GCF of 2086/675, 7277/8504

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 2086/675, 7277/8504 i.e 1/5740200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2086/675, 7277/8504.

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 2086/675,7277/8504?

Given fractions are 2086/675,7277/8504

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 2086/675,7277/8504, numerators are 2086,7277

Denominators are 675,8504

The GCF of 2086,7277 is 1 .

LCM of 675,8504 is 5740200.

The greatest common factor of 2086/675,7277/8504 = [GCF of 2086,7277]/[LCM of 675,8504]= 1/5740200

Therefore, the GCF of 2086/675,7277/8504 is 1/5740200.

Greatest Common Factor of 2086,7277

To find the highest common factor of 2086,7277, we have to find the factors of both numbers and list the highest common factor.

The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086

The factors of 7277 are 1, 19, 383, 7277

The HCF of 2086,7277 is 1.

Lets's calculate GCF of 2086,7277

Greatest Common Factor (GCF) of 2086,7277 By Common Division

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

Greatest Common Factor of 2086,7277 By Matching Biggest Common Factor Method

Now, list down the factors of 2086

1,2,7,14,149,298,1043,2086

Now, list down the factors of 7277

1,19,383,7277

Greatest Common Factor

We found the factors 2086,7277 . The biggest common factor number is the GCF number.
So the greatest common factor 2086,7277 is 1.

Lets's calculate LCM of 675,8504

Lowest Common Multiple of 675,8504 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5740200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5740200

Therefore, the GCF of Fractions 2086/675,7277/8504 is 1/5740200

Least Common Multiple of 675,8504 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 675,8504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,8504) = 1

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

GCF(675,8504) x common factors =1 x 1 = 1

LCM(675,8504) = ( 675 × 8504 ) / 1

LCM(675,8504) = 5740200 / 1

LCM(675,8504) = 5740200

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FAQs on GCF of Fractions of 2086/675, 7277/8504

1. What is the HCF of 2086,7277?

The HCF of 2086,7277 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 2086/675, 7277/8504?

Answer: GCF of Numerators as per given numbers 2086/675, 7277/8504 is

GCF of Numerators i.e. for 2086,7277 is 1

LCM of denominators i.e. for 675,8504 is 5740200.

Thus, GCF of Fractions is 1/5740200.Finally, GCF of Fractions for 2086/675, 7277/8504 is 1/5740200.