How to Find GCF of 6777/984, 9572/8616?

GCF of 6777/984, 9572/8616

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 6777/984, 9572/8616 i.e 1/353256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6777/984, 9572/8616.

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 6777/984,9572/8616?

Given fractions are 6777/984,9572/8616

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 6777/984,9572/8616, numerators are 6777,9572

Denominators are 984,8616

The GCF of 6777,9572 is 1 .

LCM of 984,8616 is 353256.

The greatest common factor of 6777/984,9572/8616 = [GCF of 6777,9572]/[LCM of 984,8616]= 1/353256

Therefore, the GCF of 6777/984,9572/8616 is 1/353256.

Greatest Common Factor of 6777,9572

To find the highest common factor of 6777,9572, we have to find the factors of both numbers and list the highest common factor.

The factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777

The factors of 9572 are 1, 2, 4, 2393, 4786, 9572

The HCF of 6777,9572 is 1.

Lets's calculate GCF of 6777,9572

Greatest Common Factor (GCF) of 6777,9572 By Common Division

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

Greatest Common Factor of 6777,9572 By Matching Biggest Common Factor Method

Now, list down the factors of 6777

1,3,9,27,251,753,2259,6777

Now, list down the factors of 9572

1,2,4,2393,4786,9572

Greatest Common Factor

We found the factors 6777,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 6777,9572 is 1.

Lets's calculate LCM of 984,8616

Lowest Common Multiple of 984,8616 using Common Division

2	984, 8616
2	492, 4308
2	246, 2154
3	123, 1077
	41, 359

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 359 = 353256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353256

Therefore, the GCF of Fractions 6777/984,9572/8616 is 1/353256

Least Common Multiple of 984,8616 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 984,8616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,8616) = 24

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

GCF(984,8616) x common factors =24 x 1 = 24

LCM(984,8616) = ( 984 × 8616 ) / 24

LCM(984,8616) = 8478144 / 24

LCM(984,8616) = 353256

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FAQs on GCF of Fractions of 6777/984, 9572/8616

1. What is the HCF of 6777,9572?

The HCF of 6777,9572 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 6777/984, 9572/8616?

Answer: GCF of Numerators as per given numbers 6777/984, 9572/8616 is

GCF of Numerators i.e. for 6777,9572 is 1

LCM of denominators i.e. for 984,8616 is 353256.

Thus, GCF of Fractions is 1/353256.Finally, GCF of Fractions for 6777/984, 9572/8616 is 1/353256.