How to Find GCF of 8169/870, 8963/5258?

GCF of 8169/870, 8963/5258

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 8169/870, 8963/5258 i.e 1/2287230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8169/870, 8963/5258.

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 8169/870,8963/5258?

Given fractions are 8169/870,8963/5258

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 8169/870,8963/5258, numerators are 8169,8963

Denominators are 870,5258

The GCF of 8169,8963 is 1 .

LCM of 870,5258 is 2287230.

The greatest common factor of 8169/870,8963/5258 = [GCF of 8169,8963]/[LCM of 870,5258]= 1/2287230

Therefore, the GCF of 8169/870,8963/5258 is 1/2287230.

Greatest Common Factor of 8169,8963

To find the highest common factor of 8169,8963, we have to find the factors of both numbers and list the highest common factor.

The factors of 8169 are 1, 3, 7, 21, 389, 1167, 2723, 8169

The factors of 8963 are 1, 8963

The HCF of 8169,8963 is 1.

Lets's calculate GCF of 8169,8963

Greatest Common Factor (GCF) of 8169,8963 By Common Division

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

Greatest Common Factor of 8169,8963 By Matching Biggest Common Factor Method

Now, list down the factors of 8169

1,3,7,21,389,1167,2723,8169

Now, list down the factors of 8963

1,8963

Greatest Common Factor

We found the factors 8169,8963 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,8963 is 1.

Lets's calculate LCM of 870,5258

Lowest Common Multiple of 870,5258 using Common Division

2	870, 5258
	435, 2629

∴ So the LCM of the given numbers is 2 x 435 x 2629 = 2287230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2287230

Therefore, the GCF of Fractions 8169/870,8963/5258 is 1/2287230

Least Common Multiple of 870,5258 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 870,5258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,5258) = 2

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

GCF(870,5258) x common factors =2 x 1 = 2

LCM(870,5258) = ( 870 × 5258 ) / 2

LCM(870,5258) = 4574460 / 2

LCM(870,5258) = 2287230

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FAQs on GCF of Fractions of 8169/870, 8963/5258

1. What is the HCF of 8169,8963?

The HCF of 8169,8963 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 8169/870, 8963/5258?

Answer: GCF of Numerators as per given numbers 8169/870, 8963/5258 is

GCF of Numerators i.e. for 8169,8963 is 1

LCM of denominators i.e. for 870,5258 is 2287230.

Thus, GCF of Fractions is 1/2287230.Finally, GCF of Fractions for 8169/870, 8963/5258 is 1/2287230.