How to Find GCF of 6291/880, 5931/9324?

GCF of 6291/880, 5931/9324

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 6291/880, 5931/9324 i.e 9/2051280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6291/880, 5931/9324.

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 6291/880,5931/9324?

Given fractions are 6291/880,5931/9324

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 6291/880,5931/9324, numerators are 6291,5931

Denominators are 880,9324

The GCF of 6291,5931 is 9 .

LCM of 880,9324 is 2051280.

The greatest common factor of 6291/880,5931/9324 = [GCF of 6291,5931]/[LCM of 880,9324]= 9/2051280

Therefore, the GCF of 6291/880,5931/9324 is 9/2051280.

Greatest Common Factor of 6291,5931

To find the highest common factor of 6291,5931, we have to find the factors of both numbers and list the highest common factor.

The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291

The factors of 5931 are 1, 3, 9, 659, 1977, 5931

The HCF of 6291,5931 is 9.

Lets's calculate GCF of 6291,5931

Greatest Common Factor (GCF) of 6291,5931 By Common Division

3	6291, 5931
3	2097, 1977
	699, 659

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6291,5931 By Matching Biggest Common Factor Method

Now, list down the factors of 6291

1,3,9,27,233,699,2097,6291

Now, list down the factors of 5931

1,3,9,659,1977,5931

Greatest Common Factor

We found the factors 6291,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 6291,5931 is 9.

Lets's calculate LCM of 880,9324

Lowest Common Multiple of 880,9324 using Common Division

2	880, 9324
2	440, 4662
	220, 2331

∴ So the LCM of the given numbers is 2 x 2 x 220 x 2331 = 2051280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2051280

Therefore, the GCF of Fractions 6291/880,5931/9324 is 9/2051280

Least Common Multiple of 880,9324 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 880,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,9324) = 4

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

GCF(880,9324) x common factors =4 x 1 = 4

LCM(880,9324) = ( 880 × 9324 ) / 4

LCM(880,9324) = 8205120 / 4

LCM(880,9324) = 2051280

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FAQs on GCF of Fractions of 6291/880, 5931/9324

1. What is the HCF of 6291,5931?

The HCF of 6291,5931 is 9

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 6291/880, 5931/9324?

Answer: GCF of Numerators as per given numbers 6291/880, 5931/9324 is

GCF of Numerators i.e. for 6291,5931 is 9

LCM of denominators i.e. for 880,9324 is 2051280.

Thus, GCF of Fractions is 9/2051280.Finally, GCF of Fractions for 6291/880, 5931/9324 is 9/2051280.