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GCF of 103/29, 870/813

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 103/29, 870/813 i.e 1/23577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/29, 870/813.

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 103/29,870/813?

Given fractions are 103/29,870/813

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 103/29,870/813, numerators are 103,870

Denominators are 29,813

The GCF of 103,870 is 1 .

LCM of 29,813 is 23577.

The greatest common factor of 103/29,870/813 = [GCF of 103,870]/[LCM of 29,813]= 1/23577

Therefore, the GCF of 103/29,870/813 is 1/23577.

Greatest Common Factor of 103,870

To find the highest common factor of 103,870, 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 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 103,870 is 1.

Lets's calculate GCF of 103,870

Greatest Common Factor (GCF) of 103,870 By Common Division

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

Greatest Common Factor of 103,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,870 By Matching Biggest Common Factor Method

Now, list down the factors of 103

:

1,103

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 103,870 . The biggest common factor number is the GCF number.
So the greatest common factor 103,870 is 1.

Lets's calculate LCM of 29,813

Lowest Common Multiple of 29,813 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23577

Therefore, the GCF of Fractions 103/29,870/813 is 1/23577

Least Common Multiple of 29,813 with GCF Formula

Least Common Multiple of 29,813 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 29,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,813) = 1

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

GCF(29,813) x common factors =1 x 1 = 1

LCM(29,813) = ( 29 × 813 ) / 1

LCM(29,813) = 23577 / 1

LCM(29,813) = 23577


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FAQs on GCF of Fractions of 103/29, 870/813

1. What is the HCF of 103,870?

The HCF of 103,870 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 103/29, 870/813?

Answer: GCF of Numerators as per given numbers 103/29, 870/813 is

GCF of Numerators i.e. for 103,870 is 1

LCM of denominators i.e. for 29,813 is 23577.

Thus, GCF of Fractions is 1/23577.Finally, GCF of Fractions for 103/29, 870/813 is 1/23577.