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GCF of 8941/435, 6493/6196

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 8941/435, 6493/6196 i.e 1/2695260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8941/435, 6493/6196.

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 8941/435,6493/6196?

Given fractions are 8941/435,6493/6196

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 8941/435,6493/6196, numerators are 8941,6493

Denominators are 435,6196

The GCF of 8941,6493 is 1 .

LCM of 435,6196 is 2695260.

The greatest common factor of 8941/435,6493/6196 = [GCF of 8941,6493]/[LCM of 435,6196]= 1/2695260

Therefore, the GCF of 8941/435,6493/6196 is 1/2695260.

Greatest Common Factor of 8941,6493

To find the highest common factor of 8941,6493, we have to find the factors of both numbers and list the highest common factor.

The factors of 8941 are 1, 8941

The factors of 6493 are 1, 43, 151, 6493

The HCF of 8941,6493 is 1.

Lets's calculate GCF of 8941,6493

Greatest Common Factor (GCF) of 8941,6493 By Common Division

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

Greatest Common Factor of 8941,6493 By Matching Biggest Common Factor Method

Greatest Common Factor of 8941,6493 By Matching Biggest Common Factor Method

Now, list down the factors of 8941

:

1,8941

Now, list down the factors of 6493

:

1,43,151,6493

Greatest Common Factor

We found the factors 8941,6493 . The biggest common factor number is the GCF number.
So the greatest common factor 8941,6493 is 1.

Lets's calculate LCM of 435,6196

Lowest Common Multiple of 435,6196 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2695260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2695260

Therefore, the GCF of Fractions 8941/435,6493/6196 is 1/2695260

Least Common Multiple of 435,6196 with GCF Formula

Least Common Multiple of 435,6196 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 435,6196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,6196) = 1

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

GCF(435,6196) x common factors =1 x 1 = 1

LCM(435,6196) = ( 435 × 6196 ) / 1

LCM(435,6196) = 2695260 / 1

LCM(435,6196) = 2695260


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FAQs on GCF of Fractions of 8941/435, 6493/6196

1. What is the HCF of 8941,6493?

The HCF of 8941,6493 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 8941/435, 6493/6196?

Answer: GCF of Numerators as per given numbers 8941/435, 6493/6196 is

GCF of Numerators i.e. for 8941,6493 is 1

LCM of denominators i.e. for 435,6196 is 2695260.

Thus, GCF of Fractions is 1/2695260.Finally, GCF of Fractions for 8941/435, 6493/6196 is 1/2695260.