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GCF of 103/110, 2831/924

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 103/110, 2831/924 i.e 1/4620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/110, 2831/924.

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 103/110,2831/924?

Given fractions are 103/110,2831/924

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 103/110,2831/924, numerators are 103,2831

Denominators are 110,924

The GCF of 103,2831 is 1 .

LCM of 110,924 is 4620.

The greatest common factor of 103/110,2831/924 = [GCF of 103,2831]/[LCM of 110,924]= 1/4620

Therefore, the GCF of 103/110,2831/924 is 1/4620.

Greatest Common Factor of 103,2831

To find the highest common factor of 103,2831, we have to find the factors of both numbers and list the highest common factor.

The factors of 103 are 1, 103

The factors of 2831 are 1, 19, 149, 2831

The HCF of 103,2831 is 1.

Lets's calculate GCF of 103,2831

Greatest Common Factor (GCF) of 103,2831 By Common Division

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

Greatest Common Factor of 103,2831 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,2831 By Matching Biggest Common Factor Method

Now, list down the factors of 103

:

1,103

Now, list down the factors of 2831

:

1,19,149,2831

Greatest Common Factor

We found the factors 103,2831 . The biggest common factor number is the GCF number.
So the greatest common factor 103,2831 is 1.

Lets's calculate LCM of 110,924

Lowest Common Multiple of 110,924 using Common Division

2 110, 924
11 55, 462
5, 42

∴ So the LCM of the given numbers is 2 x 11 x 5 x 42 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 103/110,2831/924 is 1/4620

Least Common Multiple of 110,924 with GCF Formula

Least Common Multiple of 110,924 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 110,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,924) = 22

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

GCF(110,924) x common factors =22 x 1 = 22

LCM(110,924) = ( 110 × 924 ) / 22

LCM(110,924) = 101640 / 22

LCM(110,924) = 4620


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FAQs on GCF of Fractions of 103/110, 2831/924

1. What is the HCF of 103,2831?

The HCF of 103,2831 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 103/110, 2831/924?

Answer: GCF of Numerators as per given numbers 103/110, 2831/924 is

GCF of Numerators i.e. for 103,2831 is 1

LCM of denominators i.e. for 110,924 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 103/110, 2831/924 is 1/4620.