How to Find GCF of 7547/295, 5512/2832?

GCF of 7547/295, 5512/2832

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 7547/295, 5512/2832 i.e 1/14160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7547/295, 5512/2832.

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 7547/295,5512/2832?

Given fractions are 7547/295,5512/2832

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 7547/295,5512/2832, numerators are 7547,5512

Denominators are 295,2832

The GCF of 7547,5512 is 1 .

LCM of 295,2832 is 14160.

The greatest common factor of 7547/295,5512/2832 = [GCF of 7547,5512]/[LCM of 295,2832]= 1/14160

Therefore, the GCF of 7547/295,5512/2832 is 1/14160.

Greatest Common Factor of 7547,5512

To find the highest common factor of 7547,5512, we have to find the factors of both numbers and list the highest common factor.

The factors of 7547 are 1, 7547

The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512

The HCF of 7547,5512 is 1.

Lets's calculate GCF of 7547,5512

Greatest Common Factor (GCF) of 7547,5512 By Common Division

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

Greatest Common Factor of 7547,5512 By Matching Biggest Common Factor Method

Now, list down the factors of 7547

1,7547

Now, list down the factors of 5512

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

Greatest Common Factor

We found the factors 7547,5512 . The biggest common factor number is the GCF number.
So the greatest common factor 7547,5512 is 1.

Lets's calculate LCM of 295,2832

Lowest Common Multiple of 295,2832 using Common Division

59	295, 2832
	5, 48

∴ So the LCM of the given numbers is 59 x 5 x 48 = 14160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14160

Therefore, the GCF of Fractions 7547/295,5512/2832 is 1/14160

Least Common Multiple of 295,2832 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 295,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,2832) = 59

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

GCF(295,2832) x common factors =59 x 1 = 59

LCM(295,2832) = ( 295 × 2832 ) / 59

LCM(295,2832) = 835440 / 59

LCM(295,2832) = 14160

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FAQs on GCF of Fractions of 7547/295, 5512/2832

1. What is the HCF of 7547,5512?

The HCF of 7547,5512 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 7547/295, 5512/2832?

Answer: GCF of Numerators as per given numbers 7547/295, 5512/2832 is

GCF of Numerators i.e. for 7547,5512 is 1

LCM of denominators i.e. for 295,2832 is 14160.

Thus, GCF of Fractions is 1/14160.Finally, GCF of Fractions for 7547/295, 5512/2832 is 1/14160.