How to Find GCF of 7411/152, 7527/559?

GCF of 7411/152, 7527/559

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 7411/152, 7527/559 i.e 1/84968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7411/152, 7527/559.

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 7411/152,7527/559?

Given fractions are 7411/152,7527/559

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 7411/152,7527/559, numerators are 7411,7527

Denominators are 152,559

The GCF of 7411,7527 is 1 .

LCM of 152,559 is 84968.

The greatest common factor of 7411/152,7527/559 = [GCF of 7411,7527]/[LCM of 152,559]= 1/84968

Therefore, the GCF of 7411/152,7527/559 is 1/84968.

Greatest Common Factor of 7411,7527

To find the highest common factor of 7411,7527, we have to find the factors of both numbers and list the highest common factor.

The factors of 7411 are 1, 7411

The factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527

The HCF of 7411,7527 is 1.

Lets's calculate GCF of 7411,7527

Greatest Common Factor (GCF) of 7411,7527 By Common Division

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

Greatest Common Factor of 7411,7527 By Matching Biggest Common Factor Method

Now, list down the factors of 7411

1,7411

Now, list down the factors of 7527

1,3,13,39,193,579,2509,7527

Greatest Common Factor

We found the factors 7411,7527 . The biggest common factor number is the GCF number.
So the greatest common factor 7411,7527 is 1.

Lets's calculate LCM of 152,559

Lowest Common Multiple of 152,559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84968

Therefore, the GCF of Fractions 7411/152,7527/559 is 1/84968

Least Common Multiple of 152,559 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 152,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,559) = 1

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

GCF(152,559) x common factors =1 x 1 = 1

LCM(152,559) = ( 152 × 559 ) / 1

LCM(152,559) = 84968 / 1

LCM(152,559) = 84968

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FAQs on GCF of Fractions of 7411/152, 7527/559

1. What is the HCF of 7411,7527?

The HCF of 7411,7527 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 7411/152, 7527/559?

Answer: GCF of Numerators as per given numbers 7411/152, 7527/559 is

GCF of Numerators i.e. for 7411,7527 is 1

LCM of denominators i.e. for 152,559 is 84968.

Thus, GCF of Fractions is 1/84968.Finally, GCF of Fractions for 7411/152, 7527/559 is 1/84968.