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GCF of 5939/955, 2923/7397

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 5939/955, 2923/7397 i.e 1/7064135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5939/955, 2923/7397.

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 5939/955,2923/7397?

Given fractions are 5939/955,2923/7397

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 5939/955,2923/7397, numerators are 5939,2923

Denominators are 955,7397

The GCF of 5939,2923 is 1 .

LCM of 955,7397 is 7064135.

The greatest common factor of 5939/955,2923/7397 = [GCF of 5939,2923]/[LCM of 955,7397]= 1/7064135

Therefore, the GCF of 5939/955,2923/7397 is 1/7064135.

Greatest Common Factor of 5939,2923

To find the highest common factor of 5939,2923, we have to find the factors of both numbers and list the highest common factor.

The factors of 5939 are 1, 5939

The factors of 2923 are 1, 37, 79, 2923

The HCF of 5939,2923 is 1.

Lets's calculate GCF of 5939,2923

Greatest Common Factor (GCF) of 5939,2923 By Common Division

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

Greatest Common Factor of 5939,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 5939,2923 By Matching Biggest Common Factor Method

Now, list down the factors of 5939

:

1,5939

Now, list down the factors of 2923

:

1,37,79,2923

Greatest Common Factor

We found the factors 5939,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 5939,2923 is 1.

Lets's calculate LCM of 955,7397

Lowest Common Multiple of 955,7397 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7064135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7064135

Therefore, the GCF of Fractions 5939/955,2923/7397 is 1/7064135

Least Common Multiple of 955,7397 with GCF Formula

Least Common Multiple of 955,7397 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 955,7397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,7397) = 1

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

GCF(955,7397) x common factors =1 x 1 = 1

LCM(955,7397) = ( 955 × 7397 ) / 1

LCM(955,7397) = 7064135 / 1

LCM(955,7397) = 7064135


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5939/955, 2923/7397

1. What is the HCF of 5939,2923?

The HCF of 5939,2923 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 5939/955, 2923/7397?

Answer: GCF of Numerators as per given numbers 5939/955, 2923/7397 is

GCF of Numerators i.e. for 5939,2923 is 1

LCM of denominators i.e. for 955,7397 is 7064135.

Thus, GCF of Fractions is 1/7064135.Finally, GCF of Fractions for 5939/955, 2923/7397 is 1/7064135.