Greatest Common Factor of 543/50, 908/37, 423/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/50, 908/37, 423/148

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 543/50,908/37,423/148

Given fractions are 543/50,908/37,423/148

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 543,908,423

Greatest Common Factor of Numerators i.e. GCF of 543,908,423 is 1 .

LCM of Denominators means LCM of 50,37,148 as per the given fractions.

LCM of 50,37,148 is 3700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,908,423

GCF of Fractions 543/50,908/37,423/148 is 1/3700

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

Greatest Common Factor of 543,908,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,908,423 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 543,908,423 . The biggest common factor number is the GCF number.
So the greatest common factor 543,908,423 is 1.

Lets's calculate LCM of 50,37,148

2 50, 37, 148
37 25, 37, 74
25, 1, 2

∴ So the LCM of the given numbers is 2 x 37 x 25 x 1 x 2 = 3700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3700

Therefore, the GCF of Fractions 543/50,908/37,423/148 is 1/3700

Least Common Multiple of 50,37,148 with GCF Formula

Least Common Multiple of 50,37,148 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 50,37,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,37,148) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(50,37,148) x common factors =1 x 74 = 74

LCM(50,37,148) = ( 50 × 37 × 148 ) / 74

LCM(50,37,148) = 273800 / 74

LCM(50,37,148) = 3700


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 543/50, 908/37, 423/148

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 543/50, 908/37, 423/148?

Answer: GCF of Numerators as per given numbers 543/50, 908/37, 423/148 is

GCF of Numerators i.e. for 543,908,423 is 1

LCM of denominators i.e. for 50,37,148 is 3700.

Thus, GCF of Fractions is 1/3700.Finally, GCF of Fractions for 543/50, 908/37, 423/148 is 1/3700.