How to Find GCF of 8861/956, 6585/840?

GCF of 8861/956, 6585/840

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 8861/956, 6585/840 i.e 1/200760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8861/956, 6585/840.

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 8861/956,6585/840?

Given fractions are 8861/956,6585/840

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 8861/956,6585/840, numerators are 8861,6585

Denominators are 956,840

The GCF of 8861,6585 is 1 .

LCM of 956,840 is 200760.

The greatest common factor of 8861/956,6585/840 = [GCF of 8861,6585]/[LCM of 956,840]= 1/200760

Therefore, the GCF of 8861/956,6585/840 is 1/200760.

Greatest Common Factor of 8861,6585

To find the highest common factor of 8861,6585, we have to find the factors of both numbers and list the highest common factor.

The factors of 8861 are 1, 8861

The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585

The HCF of 8861,6585 is 1.

Lets's calculate GCF of 8861,6585

Greatest Common Factor (GCF) of 8861,6585 By Common Division

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

Greatest Common Factor of 8861,6585 By Matching Biggest Common Factor Method

Now, list down the factors of 8861

1,8861

Now, list down the factors of 6585

1,3,5,15,439,1317,2195,6585

Greatest Common Factor

We found the factors 8861,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 8861,6585 is 1.

Lets's calculate LCM of 956,840

Lowest Common Multiple of 956,840 using Common Division

2	956, 840
2	478, 420
	239, 210

∴ So the LCM of the given numbers is 2 x 2 x 239 x 210 = 200760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200760

Therefore, the GCF of Fractions 8861/956,6585/840 is 1/200760

Least Common Multiple of 956,840 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 956,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,840) = 4

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

GCF(956,840) x common factors =4 x 1 = 4

LCM(956,840) = ( 956 × 840 ) / 4

LCM(956,840) = 803040 / 4

LCM(956,840) = 200760

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FAQs on GCF of Fractions of 8861/956, 6585/840

1. What is the HCF of 8861,6585?

The HCF of 8861,6585 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 8861/956, 6585/840?

Answer: GCF of Numerators as per given numbers 8861/956, 6585/840 is

GCF of Numerators i.e. for 8861,6585 is 1

LCM of denominators i.e. for 956,840 is 200760.

Thus, GCF of Fractions is 1/200760.Finally, GCF of Fractions for 8861/956, 6585/840 is 1/200760.