How to Find GCF of 7175/460, 6131/5425?

GCF of 7175/460, 6131/5425

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 7175/460, 6131/5425 i.e 1/499100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7175/460, 6131/5425.

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 7175/460,6131/5425?

Given fractions are 7175/460,6131/5425

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 7175/460,6131/5425, numerators are 7175,6131

Denominators are 460,5425

The GCF of 7175,6131 is 1 .

LCM of 460,5425 is 499100.

The greatest common factor of 7175/460,6131/5425 = [GCF of 7175,6131]/[LCM of 460,5425]= 1/499100

Therefore, the GCF of 7175/460,6131/5425 is 1/499100.

Greatest Common Factor of 7175,6131

To find the highest common factor of 7175,6131, we have to find the factors of both numbers and list the highest common factor.

The factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175

The factors of 6131 are 1, 6131

The HCF of 7175,6131 is 1.

Lets's calculate GCF of 7175,6131

Greatest Common Factor (GCF) of 7175,6131 By Common Division

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

Greatest Common Factor of 7175,6131 By Matching Biggest Common Factor Method

Now, list down the factors of 7175

1,5,7,25,35,41,175,205,287,1025,1435,7175

Now, list down the factors of 6131

1,6131

Greatest Common Factor

We found the factors 7175,6131 . The biggest common factor number is the GCF number.
So the greatest common factor 7175,6131 is 1.

Lets's calculate LCM of 460,5425

Lowest Common Multiple of 460,5425 using Common Division

5	460, 5425
	92, 1085

∴ So the LCM of the given numbers is 5 x 92 x 1085 = 499100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499100

Therefore, the GCF of Fractions 7175/460,6131/5425 is 1/499100

Least Common Multiple of 460,5425 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 460,5425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,5425) = 5

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

GCF(460,5425) x common factors =5 x 1 = 5

LCM(460,5425) = ( 460 × 5425 ) / 5

LCM(460,5425) = 2495500 / 5

LCM(460,5425) = 499100

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FAQs on GCF of Fractions of 7175/460, 6131/5425

1. What is the HCF of 7175,6131?

The HCF of 7175,6131 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 7175/460, 6131/5425?

Answer: GCF of Numerators as per given numbers 7175/460, 6131/5425 is

GCF of Numerators i.e. for 7175,6131 is 1

LCM of denominators i.e. for 460,5425 is 499100.

Thus, GCF of Fractions is 1/499100.Finally, GCF of Fractions for 7175/460, 6131/5425 is 1/499100.