How to Find GCF of 877/986, 7100/142?

GCF of 877/986, 7100/142

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 877/986, 7100/142 i.e 1/70006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 877/986, 7100/142.

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 877/986,7100/142?

Given fractions are 877/986,7100/142

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 877/986,7100/142, numerators are 877,7100

Denominators are 986,142

The GCF of 877,7100 is 1 .

LCM of 986,142 is 70006.

The greatest common factor of 877/986,7100/142 = [GCF of 877,7100]/[LCM of 986,142]= 1/70006

Therefore, the GCF of 877/986,7100/142 is 1/70006.

Greatest Common Factor of 877,7100

To find the highest common factor of 877,7100, we have to find the factors of both numbers and list the highest common factor.

The factors of 877 are 1, 877

The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100

The HCF of 877,7100 is 1.

Lets's calculate GCF of 877,7100

Greatest Common Factor (GCF) of 877,7100 By Common Division

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

Greatest Common Factor of 877,7100 By Matching Biggest Common Factor Method

Now, list down the factors of 877

1,877

Now, list down the factors of 7100

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 877,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 877,7100 is 1.

Lets's calculate LCM of 986,142

Lowest Common Multiple of 986,142 using Common Division

2	986, 142
	493, 71

∴ So the LCM of the given numbers is 2 x 493 x 71 = 70006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70006

Therefore, the GCF of Fractions 877/986,7100/142 is 1/70006

Least Common Multiple of 986,142 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 986,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,142) = 2

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

GCF(986,142) x common factors =2 x 1 = 2

LCM(986,142) = ( 986 × 142 ) / 2

LCM(986,142) = 140012 / 2

LCM(986,142) = 70006

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FAQs on GCF of Fractions of 877/986, 7100/142

1. What is the HCF of 877,7100?

The HCF of 877,7100 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 877/986, 7100/142?

Answer: GCF of Numerators as per given numbers 877/986, 7100/142 is

GCF of Numerators i.e. for 877,7100 is 1

LCM of denominators i.e. for 986,142 is 70006.

Thus, GCF of Fractions is 1/70006.Finally, GCF of Fractions for 877/986, 7100/142 is 1/70006.