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GCF of 2759/740, 9109/4617

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 2759/740, 9109/4617 i.e 1/3416580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2759/740, 9109/4617.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2759/740,9109/4617?

Given fractions are 2759/740,9109/4617

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 2759/740,9109/4617, numerators are 2759,9109

Denominators are 740,4617

The GCF of 2759,9109 is 1 .

LCM of 740,4617 is 3416580.

The greatest common factor of 2759/740,9109/4617 = [GCF of 2759,9109]/[LCM of 740,4617]= 1/3416580

Therefore, the GCF of 2759/740,9109/4617 is 1/3416580.

Greatest Common Factor of 2759,9109

To find the highest common factor of 2759,9109, we have to find the factors of both numbers and list the highest common factor.

The factors of 2759 are 1, 31, 89, 2759

The factors of 9109 are 1, 9109

The HCF of 2759,9109 is 1.

Lets's calculate GCF of 2759,9109

Greatest Common Factor (GCF) of 2759,9109 By Common Division

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

Greatest Common Factor of 2759,9109 By Matching Biggest Common Factor Method

Greatest Common Factor of 2759,9109 By Matching Biggest Common Factor Method

Now, list down the factors of 2759

:

1,31,89,2759

Now, list down the factors of 9109

:

1,9109

Greatest Common Factor

We found the factors 2759,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 2759,9109 is 1.

Lets's calculate LCM of 740,4617

Lowest Common Multiple of 740,4617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3416580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3416580

Therefore, the GCF of Fractions 2759/740,9109/4617 is 1/3416580

Least Common Multiple of 740,4617 with GCF Formula

Least Common Multiple of 740,4617 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 740,4617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,4617) = 1

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

GCF(740,4617) x common factors =1 x 1 = 1

LCM(740,4617) = ( 740 × 4617 ) / 1

LCM(740,4617) = 3416580 / 1

LCM(740,4617) = 3416580


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FAQs on GCF of Fractions of 2759/740, 9109/4617

1. What is the HCF of 2759,9109?

The HCF of 2759,9109 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 2759/740, 9109/4617?

Answer: GCF of Numerators as per given numbers 2759/740, 9109/4617 is

GCF of Numerators i.e. for 2759,9109 is 1

LCM of denominators i.e. for 740,4617 is 3416580.

Thus, GCF of Fractions is 1/3416580.Finally, GCF of Fractions for 2759/740, 9109/4617 is 1/3416580.