How to Find GCF of 556/109, 7565/7088?

GCF of 556/109, 7565/7088

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 556/109, 7565/7088 i.e 1/772592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/109, 7565/7088.

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 556/109,7565/7088?

Given fractions are 556/109,7565/7088

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 556/109,7565/7088, numerators are 556,7565

Denominators are 109,7088

The GCF of 556,7565 is 1 .

LCM of 109,7088 is 772592.

The greatest common factor of 556/109,7565/7088 = [GCF of 556,7565]/[LCM of 109,7088]= 1/772592

Therefore, the GCF of 556/109,7565/7088 is 1/772592.

Greatest Common Factor of 556,7565

To find the highest common factor of 556,7565, we have to find the factors of both numbers and list the highest common factor.

The factors of 556 are 1, 2, 4, 139, 278, 556

The factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565

The HCF of 556,7565 is 1.

Lets's calculate GCF of 556,7565

Greatest Common Factor (GCF) of 556,7565 By Common Division

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

Greatest Common Factor of 556,7565 By Matching Biggest Common Factor Method

Now, list down the factors of 556

1,2,4,139,278,556

Now, list down the factors of 7565

1,5,17,85,89,445,1513,7565

Greatest Common Factor

We found the factors 556,7565 . The biggest common factor number is the GCF number.
So the greatest common factor 556,7565 is 1.

Lets's calculate LCM of 109,7088

Lowest Common Multiple of 109,7088 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 772592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/772592

Therefore, the GCF of Fractions 556/109,7565/7088 is 1/772592

Least Common Multiple of 109,7088 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 109,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,7088) = 1

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

GCF(109,7088) x common factors =1 x 1 = 1

LCM(109,7088) = ( 109 × 7088 ) / 1

LCM(109,7088) = 772592 / 1

LCM(109,7088) = 772592

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FAQs on GCF of Fractions of 556/109, 7565/7088

1. What is the HCF of 556,7565?

The HCF of 556,7565 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 556/109, 7565/7088?

Answer: GCF of Numerators as per given numbers 556/109, 7565/7088 is

GCF of Numerators i.e. for 556,7565 is 1

LCM of denominators i.e. for 109,7088 is 772592.

Thus, GCF of Fractions is 1/772592.Finally, GCF of Fractions for 556/109, 7565/7088 is 1/772592.