How to Find GCF of 3170/288, 7959/6142?

GCF of 3170/288, 7959/6142

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 3170/288, 7959/6142 i.e 1/884448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3170/288, 7959/6142.

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 3170/288,7959/6142?

Given fractions are 3170/288,7959/6142

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 3170/288,7959/6142, numerators are 3170,7959

Denominators are 288,6142

The GCF of 3170,7959 is 1 .

LCM of 288,6142 is 884448.

The greatest common factor of 3170/288,7959/6142 = [GCF of 3170,7959]/[LCM of 288,6142]= 1/884448

Therefore, the GCF of 3170/288,7959/6142 is 1/884448.

Greatest Common Factor of 3170,7959

To find the highest common factor of 3170,7959, we have to find the factors of both numbers and list the highest common factor.

The factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170

The factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959

The HCF of 3170,7959 is 1.

Lets's calculate GCF of 3170,7959

Greatest Common Factor (GCF) of 3170,7959 By Common Division

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

Greatest Common Factor of 3170,7959 By Matching Biggest Common Factor Method

Now, list down the factors of 3170

1,2,5,10,317,634,1585,3170

Now, list down the factors of 7959

1,3,7,21,379,1137,2653,7959

Greatest Common Factor

We found the factors 3170,7959 . The biggest common factor number is the GCF number.
So the greatest common factor 3170,7959 is 1.

Lets's calculate LCM of 288,6142

Lowest Common Multiple of 288,6142 using Common Division

2	288, 6142
	144, 3071

∴ So the LCM of the given numbers is 2 x 144 x 3071 = 884448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884448

Therefore, the GCF of Fractions 3170/288,7959/6142 is 1/884448

Least Common Multiple of 288,6142 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 288,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,6142) = 2

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

GCF(288,6142) x common factors =2 x 1 = 2

LCM(288,6142) = ( 288 × 6142 ) / 2

LCM(288,6142) = 1768896 / 2

LCM(288,6142) = 884448

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FAQs on GCF of Fractions of 3170/288, 7959/6142

1. What is the HCF of 3170,7959?

The HCF of 3170,7959 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 3170/288, 7959/6142?

Answer: GCF of Numerators as per given numbers 3170/288, 7959/6142 is

GCF of Numerators i.e. for 3170,7959 is 1

LCM of denominators i.e. for 288,6142 is 884448.

Thus, GCF of Fractions is 1/884448.Finally, GCF of Fractions for 3170/288, 7959/6142 is 1/884448.