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GCF of 4117/955, 4903/9676

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 4117/955, 4903/9676 i.e 1/9240580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/955, 4903/9676.

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 4117/955,4903/9676?

Given fractions are 4117/955,4903/9676

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 4117/955,4903/9676, numerators are 4117,4903

Denominators are 955,9676

The GCF of 4117,4903 is 1 .

LCM of 955,9676 is 9240580.

The greatest common factor of 4117/955,4903/9676 = [GCF of 4117,4903]/[LCM of 955,9676]= 1/9240580

Therefore, the GCF of 4117/955,4903/9676 is 1/9240580.

Greatest Common Factor of 4117,4903

To find the highest common factor of 4117,4903, we have to find the factors of both numbers and list the highest common factor.

The factors of 4117 are 1, 23, 179, 4117

The factors of 4903 are 1, 4903

The HCF of 4117,4903 is 1.

Lets's calculate GCF of 4117,4903

Greatest Common Factor (GCF) of 4117,4903 By Common Division

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

Greatest Common Factor of 4117,4903 By Matching Biggest Common Factor Method

Greatest Common Factor of 4117,4903 By Matching Biggest Common Factor Method

Now, list down the factors of 4117

:

1,23,179,4117

Now, list down the factors of 4903

:

1,4903

Greatest Common Factor

We found the factors 4117,4903 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,4903 is 1.

Lets's calculate LCM of 955,9676

Lowest Common Multiple of 955,9676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9240580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9240580

Therefore, the GCF of Fractions 4117/955,4903/9676 is 1/9240580

Least Common Multiple of 955,9676 with GCF Formula

Least Common Multiple of 955,9676 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 955,9676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,9676) = 1

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

GCF(955,9676) x common factors =1 x 1 = 1

LCM(955,9676) = ( 955 × 9676 ) / 1

LCM(955,9676) = 9240580 / 1

LCM(955,9676) = 9240580


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4117/955, 4903/9676

1. What is the HCF of 4117,4903?

The HCF of 4117,4903 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 4117/955, 4903/9676?

Answer: GCF of Numerators as per given numbers 4117/955, 4903/9676 is

GCF of Numerators i.e. for 4117,4903 is 1

LCM of denominators i.e. for 955,9676 is 9240580.

Thus, GCF of Fractions is 1/9240580.Finally, GCF of Fractions for 4117/955, 4903/9676 is 1/9240580.