How to Find GCF of 5153/611, 7567/8149?

GCF of 5153/611, 7567/8149

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 5153/611, 7567/8149 i.e 1/4979039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5153/611, 7567/8149.

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 5153/611,7567/8149?

Given fractions are 5153/611,7567/8149

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 5153/611,7567/8149, numerators are 5153,7567

Denominators are 611,8149

The GCF of 5153,7567 is 1 .

LCM of 611,8149 is 4979039.

The greatest common factor of 5153/611,7567/8149 = [GCF of 5153,7567]/[LCM of 611,8149]= 1/4979039

Therefore, the GCF of 5153/611,7567/8149 is 1/4979039.

Greatest Common Factor of 5153,7567

To find the highest common factor of 5153,7567, we have to find the factors of both numbers and list the highest common factor.

The factors of 5153 are 1, 5153

The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567

The HCF of 5153,7567 is 1.

Lets's calculate GCF of 5153,7567

Greatest Common Factor (GCF) of 5153,7567 By Common Division

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

Greatest Common Factor of 5153,7567 By Matching Biggest Common Factor Method

Now, list down the factors of 5153

1,5153

Now, list down the factors of 7567

1,7,23,47,161,329,1081,7567

Greatest Common Factor

We found the factors 5153,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 5153,7567 is 1.

Lets's calculate LCM of 611,8149

Lowest Common Multiple of 611,8149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4979039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4979039

Therefore, the GCF of Fractions 5153/611,7567/8149 is 1/4979039

Least Common Multiple of 611,8149 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 611,8149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,8149) = 1

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

GCF(611,8149) x common factors =1 x 1 = 1

LCM(611,8149) = ( 611 × 8149 ) / 1

LCM(611,8149) = 4979039 / 1

LCM(611,8149) = 4979039

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FAQs on GCF of Fractions of 5153/611, 7567/8149

1. What is the HCF of 5153,7567?

The HCF of 5153,7567 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 5153/611, 7567/8149?

Answer: GCF of Numerators as per given numbers 5153/611, 7567/8149 is

GCF of Numerators i.e. for 5153,7567 is 1

LCM of denominators i.e. for 611,8149 is 4979039.

Thus, GCF of Fractions is 1/4979039.Finally, GCF of Fractions for 5153/611, 7567/8149 is 1/4979039.