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GCF of 8561/867, 7477/6418

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 8561/867, 7477/6418 i.e 1/5564406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8561/867, 7477/6418.

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 8561/867,7477/6418?

Given fractions are 8561/867,7477/6418

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 8561/867,7477/6418, numerators are 8561,7477

Denominators are 867,6418

The GCF of 8561,7477 is 1 .

LCM of 867,6418 is 5564406.

The greatest common factor of 8561/867,7477/6418 = [GCF of 8561,7477]/[LCM of 867,6418]= 1/5564406

Therefore, the GCF of 8561/867,7477/6418 is 1/5564406.

Greatest Common Factor of 8561,7477

To find the highest common factor of 8561,7477, we have to find the factors of both numbers and list the highest common factor.

The factors of 8561 are 1, 7, 1223, 8561

The factors of 7477 are 1, 7477

The HCF of 8561,7477 is 1.

Lets's calculate GCF of 8561,7477

Greatest Common Factor (GCF) of 8561,7477 By Common Division

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

Greatest Common Factor of 8561,7477 By Matching Biggest Common Factor Method

Greatest Common Factor of 8561,7477 By Matching Biggest Common Factor Method

Now, list down the factors of 8561

:

1,7,1223,8561

Now, list down the factors of 7477

:

1,7477

Greatest Common Factor

We found the factors 8561,7477 . The biggest common factor number is the GCF number.
So the greatest common factor 8561,7477 is 1.


Lets's calculate LCM of 867,6418

Lowest Common Multiple of 867,6418 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5564406

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5564406

Therefore, the GCF of Fractions 8561/867,7477/6418 is 1/5564406

Least Common Multiple of 867,6418 with GCF Formula

Least Common Multiple of 867,6418 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 867,6418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,6418) = 1

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

GCF(867,6418) x common factors =1 x 1 = 1

LCM(867,6418) = ( 867 × 6418 ) / 1

LCM(867,6418) = 5564406 / 1

LCM(867,6418) = 5564406


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8561/867, 7477/6418

1. What is the HCF of 8561,7477?

The HCF of 8561,7477 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 8561/867, 7477/6418?

Answer: GCF of Numerators as per given numbers 8561/867, 7477/6418 is

GCF of Numerators i.e. for 8561,7477 is 1

LCM of denominators i.e. for 867,6418 is 5564406.

Thus, GCF of Fractions is 1/5564406.Finally, GCF of Fractions for 8561/867, 7477/6418 is 1/5564406.