How to Find GCF of 8685/748, 8647/851?

GCF of 8685/748, 8647/851

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 8685/748, 8647/851 i.e 1/636548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8685/748, 8647/851.

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 8685/748,8647/851?

Given fractions are 8685/748,8647/851

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 8685/748,8647/851, numerators are 8685,8647

Denominators are 748,851

The GCF of 8685,8647 is 1 .

LCM of 748,851 is 636548.

The greatest common factor of 8685/748,8647/851 = [GCF of 8685,8647]/[LCM of 748,851]= 1/636548

Therefore, the GCF of 8685/748,8647/851 is 1/636548.

Greatest Common Factor of 8685,8647

To find the highest common factor of 8685,8647, we have to find the factors of both numbers and list the highest common factor.

The factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685

The factors of 8647 are 1, 8647

The HCF of 8685,8647 is 1.

Lets's calculate GCF of 8685,8647

Greatest Common Factor (GCF) of 8685,8647 By Common Division

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

Greatest Common Factor of 8685,8647 By Matching Biggest Common Factor Method

Now, list down the factors of 8685

1,3,5,9,15,45,193,579,965,1737,2895,8685

Now, list down the factors of 8647

1,8647

Greatest Common Factor

We found the factors 8685,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 8685,8647 is 1.

Lets's calculate LCM of 748,851

Lowest Common Multiple of 748,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 636548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/636548

Therefore, the GCF of Fractions 8685/748,8647/851 is 1/636548

Least Common Multiple of 748,851 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 748,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,851) = 1

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

GCF(748,851) x common factors =1 x 1 = 1

LCM(748,851) = ( 748 × 851 ) / 1

LCM(748,851) = 636548 / 1

LCM(748,851) = 636548

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FAQs on GCF of Fractions of 8685/748, 8647/851

1. What is the HCF of 8685,8647?

The HCF of 8685,8647 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 8685/748, 8647/851?

Answer: GCF of Numerators as per given numbers 8685/748, 8647/851 is

GCF of Numerators i.e. for 8685,8647 is 1

LCM of denominators i.e. for 748,851 is 636548.

Thus, GCF of Fractions is 1/636548.Finally, GCF of Fractions for 8685/748, 8647/851 is 1/636548.