How to Find GCF of 3962/117, 7213/7576?

GCF of 3962/117, 7213/7576

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 3962/117, 7213/7576 i.e 1/886392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3962/117, 7213/7576.

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 3962/117,7213/7576?

Given fractions are 3962/117,7213/7576

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 3962/117,7213/7576, numerators are 3962,7213

Denominators are 117,7576

The GCF of 3962,7213 is 1 .

LCM of 117,7576 is 886392.

The greatest common factor of 3962/117,7213/7576 = [GCF of 3962,7213]/[LCM of 117,7576]= 1/886392

Therefore, the GCF of 3962/117,7213/7576 is 1/886392.

Greatest Common Factor of 3962,7213

To find the highest common factor of 3962,7213, we have to find the factors of both numbers and list the highest common factor.

The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962

The factors of 7213 are 1, 7213

The HCF of 3962,7213 is 1.

Lets's calculate GCF of 3962,7213

Greatest Common Factor (GCF) of 3962,7213 By Common Division

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

Greatest Common Factor of 3962,7213 By Matching Biggest Common Factor Method

Now, list down the factors of 3962

1,2,7,14,283,566,1981,3962

Now, list down the factors of 7213

1,7213

Greatest Common Factor

We found the factors 3962,7213 . The biggest common factor number is the GCF number.
So the greatest common factor 3962,7213 is 1.

Lets's calculate LCM of 117,7576

Lowest Common Multiple of 117,7576 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 886392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/886392

Therefore, the GCF of Fractions 3962/117,7213/7576 is 1/886392

Least Common Multiple of 117,7576 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 117,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,7576) = 1

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

GCF(117,7576) x common factors =1 x 1 = 1

LCM(117,7576) = ( 117 × 7576 ) / 1

LCM(117,7576) = 886392 / 1

LCM(117,7576) = 886392

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FAQs on GCF of Fractions of 3962/117, 7213/7576

1. What is the HCF of 3962,7213?

The HCF of 3962,7213 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 3962/117, 7213/7576?

Answer: GCF of Numerators as per given numbers 3962/117, 7213/7576 is

GCF of Numerators i.e. for 3962,7213 is 1

LCM of denominators i.e. for 117,7576 is 886392.

Thus, GCF of Fractions is 1/886392.Finally, GCF of Fractions for 3962/117, 7213/7576 is 1/886392.