How to Find GCF of 6549/926, 9557/5648?

GCF of 6549/926, 9557/5648

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 6549/926, 9557/5648 i.e 1/2615024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6549/926, 9557/5648.

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 6549/926,9557/5648?

Given fractions are 6549/926,9557/5648

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 6549/926,9557/5648, numerators are 6549,9557

Denominators are 926,5648

The GCF of 6549,9557 is 1 .

LCM of 926,5648 is 2615024.

The greatest common factor of 6549/926,9557/5648 = [GCF of 6549,9557]/[LCM of 926,5648]= 1/2615024

Therefore, the GCF of 6549/926,9557/5648 is 1/2615024.

Greatest Common Factor of 6549,9557

To find the highest common factor of 6549,9557, we have to find the factors of both numbers and list the highest common factor.

The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549

The factors of 9557 are 1, 19, 503, 9557

The HCF of 6549,9557 is 1.

Lets's calculate GCF of 6549,9557

Greatest Common Factor (GCF) of 6549,9557 By Common Division

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

Greatest Common Factor of 6549,9557 By Matching Biggest Common Factor Method

Now, list down the factors of 6549

1,3,37,59,111,177,2183,6549

Now, list down the factors of 9557

1,19,503,9557

Greatest Common Factor

We found the factors 6549,9557 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,9557 is 1.

Lets's calculate LCM of 926,5648

Lowest Common Multiple of 926,5648 using Common Division

2	926, 5648
	463, 2824

∴ So the LCM of the given numbers is 2 x 463 x 2824 = 2615024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2615024

Therefore, the GCF of Fractions 6549/926,9557/5648 is 1/2615024

Least Common Multiple of 926,5648 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 926,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,5648) = 2

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

GCF(926,5648) x common factors =2 x 1 = 2

LCM(926,5648) = ( 926 × 5648 ) / 2

LCM(926,5648) = 5230048 / 2

LCM(926,5648) = 2615024

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6549/926, 9557/5648

1. What is the HCF of 6549,9557?

The HCF of 6549,9557 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 6549/926, 9557/5648?

Answer: GCF of Numerators as per given numbers 6549/926, 9557/5648 is

GCF of Numerators i.e. for 6549,9557 is 1

LCM of denominators i.e. for 926,5648 is 2615024.

Thus, GCF of Fractions is 1/2615024.Finally, GCF of Fractions for 6549/926, 9557/5648 is 1/2615024.