How to Find GCF of 6541/870, 9991/9984?

GCF of 6541/870, 9991/9984

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 6541/870, 9991/9984 i.e 1/1447680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6541/870, 9991/9984.

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 6541/870,9991/9984?

Given fractions are 6541/870,9991/9984

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 6541/870,9991/9984, numerators are 6541,9991

Denominators are 870,9984

The GCF of 6541,9991 is 1 .

LCM of 870,9984 is 1447680.

The greatest common factor of 6541/870,9991/9984 = [GCF of 6541,9991]/[LCM of 870,9984]= 1/1447680

Therefore, the GCF of 6541/870,9991/9984 is 1/1447680.

Greatest Common Factor of 6541,9991

To find the highest common factor of 6541,9991, we have to find the factors of both numbers and list the highest common factor.

The factors of 6541 are 1, 31, 211, 6541

The factors of 9991 are 1, 97, 103, 9991

The HCF of 6541,9991 is 1.

Lets's calculate GCF of 6541,9991

Greatest Common Factor (GCF) of 6541,9991 By Common Division

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

Greatest Common Factor of 6541,9991 By Matching Biggest Common Factor Method

Now, list down the factors of 6541

1,31,211,6541

Now, list down the factors of 9991

1,97,103,9991

Greatest Common Factor

We found the factors 6541,9991 . The biggest common factor number is the GCF number.
So the greatest common factor 6541,9991 is 1.

Lets's calculate LCM of 870,9984

Lowest Common Multiple of 870,9984 using Common Division

2	870, 9984
3	435, 4992
	145, 1664

∴ So the LCM of the given numbers is 2 x 3 x 145 x 1664 = 1447680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1447680

Therefore, the GCF of Fractions 6541/870,9991/9984 is 1/1447680

Least Common Multiple of 870,9984 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 870,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,9984) = 6

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

GCF(870,9984) x common factors =6 x 1 = 6

LCM(870,9984) = ( 870 × 9984 ) / 6

LCM(870,9984) = 8686080 / 6

LCM(870,9984) = 1447680

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FAQs on GCF of Fractions of 6541/870, 9991/9984

1. What is the HCF of 6541,9991?

The HCF of 6541,9991 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 6541/870, 9991/9984?

Answer: GCF of Numerators as per given numbers 6541/870, 9991/9984 is

GCF of Numerators i.e. for 6541,9991 is 1

LCM of denominators i.e. for 870,9984 is 1447680.

Thus, GCF of Fractions is 1/1447680.Finally, GCF of Fractions for 6541/870, 9991/9984 is 1/1447680.