How to Find GCF of 3143/616, 9409/7961?

GCF of 3143/616, 9409/7961

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 3143/616, 9409/7961 i.e 1/4903976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3143/616, 9409/7961.

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 3143/616,9409/7961?

Given fractions are 3143/616,9409/7961

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 3143/616,9409/7961, numerators are 3143,9409

Denominators are 616,7961

The GCF of 3143,9409 is 1 .

LCM of 616,7961 is 4903976.

The greatest common factor of 3143/616,9409/7961 = [GCF of 3143,9409]/[LCM of 616,7961]= 1/4903976

Therefore, the GCF of 3143/616,9409/7961 is 1/4903976.

Greatest Common Factor of 3143,9409

To find the highest common factor of 3143,9409, we have to find the factors of both numbers and list the highest common factor.

The factors of 3143 are 1, 7, 449, 3143

The factors of 9409 are 1, 97, 9409

The HCF of 3143,9409 is 1.

Lets's calculate GCF of 3143,9409

Greatest Common Factor (GCF) of 3143,9409 By Common Division

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

Greatest Common Factor of 3143,9409 By Matching Biggest Common Factor Method

Now, list down the factors of 3143

1,7,449,3143

Now, list down the factors of 9409

1,97,9409

Greatest Common Factor

We found the factors 3143,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 3143,9409 is 1.

Lets's calculate LCM of 616,7961

Lowest Common Multiple of 616,7961 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4903976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4903976

Therefore, the GCF of Fractions 3143/616,9409/7961 is 1/4903976

Least Common Multiple of 616,7961 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 616,7961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,7961) = 1

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

GCF(616,7961) x common factors =1 x 1 = 1

LCM(616,7961) = ( 616 × 7961 ) / 1

LCM(616,7961) = 4903976 / 1

LCM(616,7961) = 4903976

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FAQs on GCF of Fractions of 3143/616, 9409/7961

1. What is the HCF of 3143,9409?

The HCF of 3143,9409 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 3143/616, 9409/7961?

Answer: GCF of Numerators as per given numbers 3143/616, 9409/7961 is

GCF of Numerators i.e. for 3143,9409 is 1

LCM of denominators i.e. for 616,7961 is 4903976.

Thus, GCF of Fractions is 1/4903976.Finally, GCF of Fractions for 3143/616, 9409/7961 is 1/4903976.