How to Find GCF of 3110/870, 5077/6751?

GCF of 3110/870, 5077/6751

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 3110/870, 5077/6751 i.e 1/5873370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3110/870, 5077/6751.

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 3110/870,5077/6751?

Given fractions are 3110/870,5077/6751

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 3110/870,5077/6751, numerators are 3110,5077

Denominators are 870,6751

The GCF of 3110,5077 is 1 .

LCM of 870,6751 is 5873370.

The greatest common factor of 3110/870,5077/6751 = [GCF of 3110,5077]/[LCM of 870,6751]= 1/5873370

Therefore, the GCF of 3110/870,5077/6751 is 1/5873370.

Greatest Common Factor of 3110,5077

To find the highest common factor of 3110,5077, we have to find the factors of both numbers and list the highest common factor.

The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110

The factors of 5077 are 1, 5077

The HCF of 3110,5077 is 1.

Lets's calculate GCF of 3110,5077

Greatest Common Factor (GCF) of 3110,5077 By Common Division

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

Greatest Common Factor of 3110,5077 By Matching Biggest Common Factor Method

Now, list down the factors of 3110

1,2,5,10,311,622,1555,3110

Now, list down the factors of 5077

1,5077

Greatest Common Factor

We found the factors 3110,5077 . The biggest common factor number is the GCF number.
So the greatest common factor 3110,5077 is 1.

Lets's calculate LCM of 870,6751

Lowest Common Multiple of 870,6751 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5873370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5873370

Therefore, the GCF of Fractions 3110/870,5077/6751 is 1/5873370

Least Common Multiple of 870,6751 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 870,6751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,6751) = 1

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

GCF(870,6751) x common factors =1 x 1 = 1

LCM(870,6751) = ( 870 × 6751 ) / 1

LCM(870,6751) = 5873370 / 1

LCM(870,6751) = 5873370

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FAQs on GCF of Fractions of 3110/870, 5077/6751

1. What is the HCF of 3110,5077?

The HCF of 3110,5077 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 3110/870, 5077/6751?

Answer: GCF of Numerators as per given numbers 3110/870, 5077/6751 is

GCF of Numerators i.e. for 3110,5077 is 1

LCM of denominators i.e. for 870,6751 is 5873370.

Thus, GCF of Fractions is 1/5873370.Finally, GCF of Fractions for 3110/870, 5077/6751 is 1/5873370.