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GCF of 8641/650, 8111/143

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 8641/650, 8111/143 i.e 1/7150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8641/650, 8111/143.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8641/650,8111/143?

Given fractions are 8641/650,8111/143

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 8641/650,8111/143, numerators are 8641,8111

Denominators are 650,143

The GCF of 8641,8111 is 1 .

LCM of 650,143 is 7150.

The greatest common factor of 8641/650,8111/143 = [GCF of 8641,8111]/[LCM of 650,143]= 1/7150

Therefore, the GCF of 8641/650,8111/143 is 1/7150.

Greatest Common Factor of 8641,8111

To find the highest common factor of 8641,8111, we have to find the factors of both numbers and list the highest common factor.

The factors of 8641 are 1, 8641

The factors of 8111 are 1, 8111

The HCF of 8641,8111 is 1.

Lets's calculate GCF of 8641,8111

Greatest Common Factor (GCF) of 8641,8111 By Common Division

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

Greatest Common Factor of 8641,8111 By Matching Biggest Common Factor Method

Greatest Common Factor of 8641,8111 By Matching Biggest Common Factor Method

Now, list down the factors of 8641

:

1,8641

Now, list down the factors of 8111

:

1,8111

Greatest Common Factor

We found the factors 8641,8111 . The biggest common factor number is the GCF number.
So the greatest common factor 8641,8111 is 1.

Lets's calculate LCM of 650,143

Lowest Common Multiple of 650,143 using Common Division

13 650, 143
50, 11

∴ So the LCM of the given numbers is 13 x 50 x 11 = 7150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7150

Therefore, the GCF of Fractions 8641/650,8111/143 is 1/7150

Least Common Multiple of 650,143 with GCF Formula

Least Common Multiple of 650,143 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 650,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,143) = 13

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

GCF(650,143) x common factors =13 x 1 = 13

LCM(650,143) = ( 650 × 143 ) / 13

LCM(650,143) = 92950 / 13

LCM(650,143) = 7150


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FAQs on GCF of Fractions of 8641/650, 8111/143

1. What is the HCF of 8641,8111?

The HCF of 8641,8111 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 8641/650, 8111/143?

Answer: GCF of Numerators as per given numbers 8641/650, 8111/143 is

GCF of Numerators i.e. for 8641,8111 is 1

LCM of denominators i.e. for 650,143 is 7150.

Thus, GCF of Fractions is 1/7150.Finally, GCF of Fractions for 8641/650, 8111/143 is 1/7150.