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GCF of 3671/253, 2575/120

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 3671/253, 2575/120 i.e 1/30360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3671/253, 2575/120.

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 3671/253,2575/120?

Given fractions are 3671/253,2575/120

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 3671/253,2575/120, numerators are 3671,2575

Denominators are 253,120

The GCF of 3671,2575 is 1 .

LCM of 253,120 is 30360.

The greatest common factor of 3671/253,2575/120 = [GCF of 3671,2575]/[LCM of 253,120]= 1/30360

Therefore, the GCF of 3671/253,2575/120 is 1/30360.

Greatest Common Factor of 3671,2575

To find the highest common factor of 3671,2575, we have to find the factors of both numbers and list the highest common factor.

The factors of 3671 are 1, 3671

The factors of 2575 are 1, 5, 25, 103, 515, 2575

The HCF of 3671,2575 is 1.

Lets's calculate GCF of 3671,2575

Greatest Common Factor (GCF) of 3671,2575 By Common Division

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

Greatest Common Factor of 3671,2575 By Matching Biggest Common Factor Method

Greatest Common Factor of 3671,2575 By Matching Biggest Common Factor Method

Now, list down the factors of 3671

:

1,3671

Now, list down the factors of 2575

:

1,5,25,103,515,2575

Greatest Common Factor

We found the factors 3671,2575 . The biggest common factor number is the GCF number.
So the greatest common factor 3671,2575 is 1.

Lets's calculate LCM of 253,120

Lowest Common Multiple of 253,120 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30360

Therefore, the GCF of Fractions 3671/253,2575/120 is 1/30360

Least Common Multiple of 253,120 with GCF Formula

Least Common Multiple of 253,120 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 253,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,120) = 1

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

GCF(253,120) x common factors =1 x 1 = 1

LCM(253,120) = ( 253 × 120 ) / 1

LCM(253,120) = 30360 / 1

LCM(253,120) = 30360


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FAQs on GCF of Fractions of 3671/253, 2575/120

1. What is the HCF of 3671,2575?

The HCF of 3671,2575 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 3671/253, 2575/120?

Answer: GCF of Numerators as per given numbers 3671/253, 2575/120 is

GCF of Numerators i.e. for 3671,2575 is 1

LCM of denominators i.e. for 253,120 is 30360.

Thus, GCF of Fractions is 1/30360.Finally, GCF of Fractions for 3671/253, 2575/120 is 1/30360.