How to Find GCF of 2686/867, 8357/8507?

GCF of 2686/867, 8357/8507

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 2686/867, 8357/8507 i.e 1/7375569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2686/867, 8357/8507.

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 2686/867,8357/8507?

Given fractions are 2686/867,8357/8507

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 2686/867,8357/8507, numerators are 2686,8357

Denominators are 867,8507

The GCF of 2686,8357 is 1 .

LCM of 867,8507 is 7375569.

The greatest common factor of 2686/867,8357/8507 = [GCF of 2686,8357]/[LCM of 867,8507]= 1/7375569

Therefore, the GCF of 2686/867,8357/8507 is 1/7375569.

Greatest Common Factor of 2686,8357

To find the highest common factor of 2686,8357, we have to find the factors of both numbers and list the highest common factor.

The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686

The factors of 8357 are 1, 61, 137, 8357

The HCF of 2686,8357 is 1.

Lets's calculate GCF of 2686,8357

Greatest Common Factor (GCF) of 2686,8357 By Common Division

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

Greatest Common Factor of 2686,8357 By Matching Biggest Common Factor Method

Now, list down the factors of 2686

1,2,17,34,79,158,1343,2686

Now, list down the factors of 8357

1,61,137,8357

Greatest Common Factor

We found the factors 2686,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 2686,8357 is 1.

Lets's calculate LCM of 867,8507

Lowest Common Multiple of 867,8507 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7375569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7375569

Therefore, the GCF of Fractions 2686/867,8357/8507 is 1/7375569

Least Common Multiple of 867,8507 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 867,8507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,8507) = 1

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

GCF(867,8507) x common factors =1 x 1 = 1

LCM(867,8507) = ( 867 × 8507 ) / 1

LCM(867,8507) = 7375569 / 1

LCM(867,8507) = 7375569

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FAQs on GCF of Fractions of 2686/867, 8357/8507

1. What is the HCF of 2686,8357?

The HCF of 2686,8357 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 2686/867, 8357/8507?

Answer: GCF of Numerators as per given numbers 2686/867, 8357/8507 is

GCF of Numerators i.e. for 2686,8357 is 1

LCM of denominators i.e. for 867,8507 is 7375569.

Thus, GCF of Fractions is 1/7375569.Finally, GCF of Fractions for 2686/867, 8357/8507 is 1/7375569.