How to Find GCF of 4715/148, 3902/7501?

GCF of 4715/148, 3902/7501

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 4715/148, 3902/7501 i.e 1/1110148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4715/148, 3902/7501.

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 4715/148,3902/7501?

Given fractions are 4715/148,3902/7501

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 4715/148,3902/7501, numerators are 4715,3902

Denominators are 148,7501

The GCF of 4715,3902 is 1 .

LCM of 148,7501 is 1110148.

The greatest common factor of 4715/148,3902/7501 = [GCF of 4715,3902]/[LCM of 148,7501]= 1/1110148

Therefore, the GCF of 4715/148,3902/7501 is 1/1110148.

Greatest Common Factor of 4715,3902

To find the highest common factor of 4715,3902, we have to find the factors of both numbers and list the highest common factor.

The factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715

The factors of 3902 are 1, 2, 1951, 3902

The HCF of 4715,3902 is 1.

Lets's calculate GCF of 4715,3902

Greatest Common Factor (GCF) of 4715,3902 By Common Division

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

Greatest Common Factor of 4715,3902 By Matching Biggest Common Factor Method

Now, list down the factors of 4715

1,5,23,41,115,205,943,4715

Now, list down the factors of 3902

1,2,1951,3902

Greatest Common Factor

We found the factors 4715,3902 . The biggest common factor number is the GCF number.
So the greatest common factor 4715,3902 is 1.

Lets's calculate LCM of 148,7501

Lowest Common Multiple of 148,7501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1110148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110148

Therefore, the GCF of Fractions 4715/148,3902/7501 is 1/1110148

Least Common Multiple of 148,7501 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 148,7501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,7501) = 1

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

GCF(148,7501) x common factors =1 x 1 = 1

LCM(148,7501) = ( 148 × 7501 ) / 1

LCM(148,7501) = 1110148 / 1

LCM(148,7501) = 1110148

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FAQs on GCF of Fractions of 4715/148, 3902/7501

1. What is the HCF of 4715,3902?

The HCF of 4715,3902 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 4715/148, 3902/7501?

Answer: GCF of Numerators as per given numbers 4715/148, 3902/7501 is

GCF of Numerators i.e. for 4715,3902 is 1

LCM of denominators i.e. for 148,7501 is 1110148.

Thus, GCF of Fractions is 1/1110148.Finally, GCF of Fractions for 4715/148, 3902/7501 is 1/1110148.