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GCF of 4171/480, 2476/728

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 4171/480, 2476/728 i.e 1/43680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4171/480, 2476/728.

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 4171/480,2476/728?

Given fractions are 4171/480,2476/728

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 4171/480,2476/728, numerators are 4171,2476

Denominators are 480,728

The GCF of 4171,2476 is 1 .

LCM of 480,728 is 43680.

The greatest common factor of 4171/480,2476/728 = [GCF of 4171,2476]/[LCM of 480,728]= 1/43680

Therefore, the GCF of 4171/480,2476/728 is 1/43680.

Greatest Common Factor of 4171,2476

To find the highest common factor of 4171,2476, we have to find the factors of both numbers and list the highest common factor.

The factors of 4171 are 1, 43, 97, 4171

The factors of 2476 are 1, 2, 4, 619, 1238, 2476

The HCF of 4171,2476 is 1.

Lets's calculate GCF of 4171,2476

Greatest Common Factor (GCF) of 4171,2476 By Common Division

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

Greatest Common Factor of 4171,2476 By Matching Biggest Common Factor Method

Greatest Common Factor of 4171,2476 By Matching Biggest Common Factor Method

Now, list down the factors of 4171

:

1,43,97,4171

Now, list down the factors of 2476

:

1,2,4,619,1238,2476

Greatest Common Factor

We found the factors 4171,2476 . The biggest common factor number is the GCF number.
So the greatest common factor 4171,2476 is 1.

Lets's calculate LCM of 480,728

Lowest Common Multiple of 480,728 using Common Division

2 480, 728
2 240, 364
2 120, 182
60, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 91 = 43680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43680

Therefore, the GCF of Fractions 4171/480,2476/728 is 1/43680

Least Common Multiple of 480,728 with GCF Formula

Least Common Multiple of 480,728 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 480,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,728) = 8

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

GCF(480,728) x common factors =8 x 1 = 8

LCM(480,728) = ( 480 × 728 ) / 8

LCM(480,728) = 349440 / 8

LCM(480,728) = 43680


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FAQs on GCF of Fractions of 4171/480, 2476/728

1. What is the HCF of 4171,2476?

The HCF of 4171,2476 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 4171/480, 2476/728?

Answer: GCF of Numerators as per given numbers 4171/480, 2476/728 is

GCF of Numerators i.e. for 4171,2476 is 1

LCM of denominators i.e. for 480,728 is 43680.

Thus, GCF of Fractions is 1/43680.Finally, GCF of Fractions for 4171/480, 2476/728 is 1/43680.