How to Find GCF of 2658/561, 5454/118?

GCF of 2658/561, 5454/118

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 2658/561, 5454/118 i.e 6/66198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2658/561, 5454/118.

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 2658/561,5454/118?

Given fractions are 2658/561,5454/118

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 2658/561,5454/118, numerators are 2658,5454

Denominators are 561,118

The GCF of 2658,5454 is 6 .

LCM of 561,118 is 66198.

The greatest common factor of 2658/561,5454/118 = [GCF of 2658,5454]/[LCM of 561,118]= 6/66198

Therefore, the GCF of 2658/561,5454/118 is 6/66198.

Greatest Common Factor of 2658,5454

To find the highest common factor of 2658,5454, we have to find the factors of both numbers and list the highest common factor.

The factors of 2658 are 1, 2, 3, 6, 443, 886, 1329, 2658

The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454

The HCF of 2658,5454 is 6.

Lets's calculate GCF of 2658,5454

Greatest Common Factor (GCF) of 2658,5454 By Common Division

2	2658, 5454
3	1329, 2727
	443, 909

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2658,5454 By Matching Biggest Common Factor Method

Now, list down the factors of 2658

1,2,3,6,443,886,1329,2658

Now, list down the factors of 5454

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 2658,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 2658,5454 is 6.

Lets's calculate LCM of 561,118

Lowest Common Multiple of 561,118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 66198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/66198

Therefore, the GCF of Fractions 2658/561,5454/118 is 6/66198

Least Common Multiple of 561,118 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 561,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,118) = 1

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

GCF(561,118) x common factors =1 x 1 = 1

LCM(561,118) = ( 561 × 118 ) / 1

LCM(561,118) = 66198 / 1

LCM(561,118) = 66198

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FAQs on GCF of Fractions of 2658/561, 5454/118

1. What is the HCF of 2658,5454?

The HCF of 2658,5454 is 6

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 2658/561, 5454/118?

Answer: GCF of Numerators as per given numbers 2658/561, 5454/118 is

GCF of Numerators i.e. for 2658,5454 is 6

LCM of denominators i.e. for 561,118 is 66198.

Thus, GCF of Fractions is 6/66198.Finally, GCF of Fractions for 2658/561, 5454/118 is 6/66198.