Greatest Common Factor of 1894/840, 3432/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1894/840, 3432/342

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 1894/840,3432/342

Given fractions are 1894/840,3432/342

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 1894,3432

Greatest Common Factor of Numerators i.e. GCF of 1894,3432 is 2 .

LCM of Denominators means LCM of 840,342 as per the given fractions.

LCM of 840,342 is 47880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1894,3432

GCF of Fractions 1894/840,3432/342 is 2/47880

2 1894, 3432
947, 1716

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1894,3432 By Matching Biggest Common Factor Method

Greatest Common Factor of 1894,3432 By Matching Biggest Common Factor Method

Factors of 1894

List of positive integer factors of 1894 that divides 1894 without a remainder.

1,2,947,1894

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 1894,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 1894,3432 is 2.

Lets's calculate LCM of 840,342

2 840, 342
3 420, 171
140, 57

∴ So the LCM of the given numbers is 2 x 3 x 140 x 57 = 47880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47880

Therefore, the GCF of Fractions 1894/840,3432/342 is 2/47880

Least Common Multiple of 840,342 with GCF Formula

Least Common Multiple of 840,342 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 840,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,342) = 6

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

GCF(840,342) x common factors =6 x 1 = 6

LCM(840,342) = ( 840 × 342 ) / 6

LCM(840,342) = 287280 / 6

LCM(840,342) = 47880


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 1894/840, 3432/342

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 1894/840, 3432/342?

Answer: GCF of Numerators as per given numbers 1894/840, 3432/342 is

GCF of Numerators i.e. for 1894,3432 is 2

LCM of denominators i.e. for 840,342 is 47880.

Thus, GCF of Fractions is 2/47880.Finally, GCF of Fractions for 1894/840, 3432/342 is 2/47880.