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GCF of 5636/481, 8067/610

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 5636/481, 8067/610 i.e 1/293410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5636/481, 8067/610.

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 5636/481,8067/610?

Given fractions are 5636/481,8067/610

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 5636/481,8067/610, numerators are 5636,8067

Denominators are 481,610

The GCF of 5636,8067 is 1 .

LCM of 481,610 is 293410.

The greatest common factor of 5636/481,8067/610 = [GCF of 5636,8067]/[LCM of 481,610]= 1/293410

Therefore, the GCF of 5636/481,8067/610 is 1/293410.

Greatest Common Factor of 5636,8067

To find the highest common factor of 5636,8067, we have to find the factors of both numbers and list the highest common factor.

The factors of 5636 are 1, 2, 4, 1409, 2818, 5636

The factors of 8067 are 1, 3, 2689, 8067

The HCF of 5636,8067 is 1.

Lets's calculate GCF of 5636,8067

Greatest Common Factor (GCF) of 5636,8067 By Common Division

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

Greatest Common Factor of 5636,8067 By Matching Biggest Common Factor Method

Greatest Common Factor of 5636,8067 By Matching Biggest Common Factor Method

Now, list down the factors of 5636

:

1,2,4,1409,2818,5636

Now, list down the factors of 8067

:

1,3,2689,8067

Greatest Common Factor

We found the factors 5636,8067 . The biggest common factor number is the GCF number.
So the greatest common factor 5636,8067 is 1.

Lets's calculate LCM of 481,610

Lowest Common Multiple of 481,610 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 293410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293410

Therefore, the GCF of Fractions 5636/481,8067/610 is 1/293410

Least Common Multiple of 481,610 with GCF Formula

Least Common Multiple of 481,610 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 481,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,610) = 1

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

GCF(481,610) x common factors =1 x 1 = 1

LCM(481,610) = ( 481 × 610 ) / 1

LCM(481,610) = 293410 / 1

LCM(481,610) = 293410


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FAQs on GCF of Fractions of 5636/481, 8067/610

1. What is the HCF of 5636,8067?

The HCF of 5636,8067 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 5636/481, 8067/610?

Answer: GCF of Numerators as per given numbers 5636/481, 8067/610 is

GCF of Numerators i.e. for 5636,8067 is 1

LCM of denominators i.e. for 481,610 is 293410.

Thus, GCF of Fractions is 1/293410.Finally, GCF of Fractions for 5636/481, 8067/610 is 1/293410.