How to Find GCF of 518/611, 5567/617?

GCF of 518/611, 5567/617

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 518/611, 5567/617 i.e 1/376987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/611, 5567/617.

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 518/611,5567/617?

Given fractions are 518/611,5567/617

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 518/611,5567/617, numerators are 518,5567

Denominators are 611,617

The GCF of 518,5567 is 1 .

LCM of 611,617 is 376987.

The greatest common factor of 518/611,5567/617 = [GCF of 518,5567]/[LCM of 611,617]= 1/376987

Therefore, the GCF of 518/611,5567/617 is 1/376987.

Greatest Common Factor of 518,5567

To find the highest common factor of 518,5567, we have to find the factors of both numbers and list the highest common factor.

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The factors of 5567 are 1, 19, 293, 5567

The HCF of 518,5567 is 1.

Lets's calculate GCF of 518,5567

Greatest Common Factor (GCF) of 518,5567 By Common Division

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

Greatest Common Factor of 518,5567 By Matching Biggest Common Factor Method

Now, list down the factors of 518

1,2,7,14,37,74,259,518

Now, list down the factors of 5567

1,19,293,5567

Greatest Common Factor

We found the factors 518,5567 . The biggest common factor number is the GCF number.
So the greatest common factor 518,5567 is 1.

Lets's calculate LCM of 611,617

Lowest Common Multiple of 611,617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 376987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376987

Therefore, the GCF of Fractions 518/611,5567/617 is 1/376987

Least Common Multiple of 611,617 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 611,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,617) = 1

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

GCF(611,617) x common factors =1 x 1 = 1

LCM(611,617) = ( 611 × 617 ) / 1

LCM(611,617) = 376987 / 1

LCM(611,617) = 376987

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FAQs on GCF of Fractions of 518/611, 5567/617

1. What is the HCF of 518,5567?

The HCF of 518,5567 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 518/611, 5567/617?

Answer: GCF of Numerators as per given numbers 518/611, 5567/617 is

GCF of Numerators i.e. for 518,5567 is 1

LCM of denominators i.e. for 611,617 is 376987.

Thus, GCF of Fractions is 1/376987.Finally, GCF of Fractions for 518/611, 5567/617 is 1/376987.