Greatest Common Factor of 103/25, 414/56, 804/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 103/25, 414/56, 804/101

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 103/25,414/56,804/101

Given fractions are 103/25,414/56,804/101

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 103,414,804

Greatest Common Factor of Numerators i.e. GCF of 103,414,804 is 1 .

LCM of Denominators means LCM of 25,56,101 as per the given fractions.

LCM of 25,56,101 is 141400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 103,414,804

GCF of Fractions 103/25,414/56,804/101 is 1/141400

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

Greatest Common Factor of 103,414,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,414,804 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 103,414,804 . The biggest common factor number is the GCF number.
So the greatest common factor 103,414,804 is 1.

Lets's calculate LCM of 25,56,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 141400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141400

Therefore, the GCF of Fractions 103/25,414/56,804/101 is 1/141400

Least Common Multiple of 25,56,101 with GCF Formula

Least Common Multiple of 25,56,101 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 25,56,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,56,101) = 1

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

GCF(25,56,101) x common factors =1 x 1 = 1

LCM(25,56,101) = ( 25 × 56 × 101 ) / 1

LCM(25,56,101) = 141400 / 1

LCM(25,56,101) = 141400


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 103/25, 414/56, 804/101

1. 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.

2. What is the GCF of Fractions for 103/25, 414/56, 804/101?

Answer: GCF of Numerators as per given numbers 103/25, 414/56, 804/101 is

GCF of Numerators i.e. for 103,414,804 is 1

LCM of denominators i.e. for 25,56,101 is 141400.

Thus, GCF of Fractions is 1/141400.Finally, GCF of Fractions for 103/25, 414/56, 804/101 is 1/141400.