How to Find GCF of 7548/155, 5227/2072?

GCF of 7548/155, 5227/2072

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 7548/155, 5227/2072 i.e 1/321160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7548/155, 5227/2072.

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 7548/155,5227/2072?

Given fractions are 7548/155,5227/2072

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 7548/155,5227/2072, numerators are 7548,5227

Denominators are 155,2072

The GCF of 7548,5227 is 1 .

LCM of 155,2072 is 321160.

The greatest common factor of 7548/155,5227/2072 = [GCF of 7548,5227]/[LCM of 155,2072]= 1/321160

Therefore, the GCF of 7548/155,5227/2072 is 1/321160.

Greatest Common Factor of 7548,5227

To find the highest common factor of 7548,5227, we have to find the factors of both numbers and list the highest common factor.

The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548

The factors of 5227 are 1, 5227

The HCF of 7548,5227 is 1.

Lets's calculate GCF of 7548,5227

Greatest Common Factor (GCF) of 7548,5227 By Common Division

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

Greatest Common Factor of 7548,5227 By Matching Biggest Common Factor Method

Now, list down the factors of 7548

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Now, list down the factors of 5227

1,5227

Greatest Common Factor

We found the factors 7548,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 7548,5227 is 1.

Lets's calculate LCM of 155,2072

Lowest Common Multiple of 155,2072 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 321160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321160

Therefore, the GCF of Fractions 7548/155,5227/2072 is 1/321160

Least Common Multiple of 155,2072 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 155,2072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,2072) = 1

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

GCF(155,2072) x common factors =1 x 1 = 1

LCM(155,2072) = ( 155 × 2072 ) / 1

LCM(155,2072) = 321160 / 1

LCM(155,2072) = 321160

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FAQs on GCF of Fractions of 7548/155, 5227/2072

1. What is the HCF of 7548,5227?

The HCF of 7548,5227 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 7548/155, 5227/2072?

Answer: GCF of Numerators as per given numbers 7548/155, 5227/2072 is

GCF of Numerators i.e. for 7548,5227 is 1

LCM of denominators i.e. for 155,2072 is 321160.

Thus, GCF of Fractions is 1/321160.Finally, GCF of Fractions for 7548/155, 5227/2072 is 1/321160.