Greatest Common Factor of 3435/532, 6054/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3435/532, 6054/870

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 3435/532,6054/870

Given fractions are 3435/532,6054/870

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 3435,6054

Greatest Common Factor of Numerators i.e. GCF of 3435,6054 is 3 .

LCM of Denominators means LCM of 532,870 as per the given fractions.

LCM of 532,870 is 231420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3435,6054

GCF of Fractions 3435/532,6054/870 is 3/231420

3 3435, 6054
1145, 2018

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3435,6054 By Matching Biggest Common Factor Method

Greatest Common Factor of 3435,6054 By Matching Biggest Common Factor Method

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1,3,5,15,229,687,1145,3435

Factors of 6054

List of positive integer factors of 6054 that divides 6054 without a remainder.

1,2,3,6,1009,2018,3027,6054

Greatest Common Factor

We found the factors 3435,6054 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,6054 is 3.

Lets's calculate LCM of 532,870

2 532, 870
266, 435

∴ So the LCM of the given numbers is 2 x 266 x 435 = 231420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231420

Therefore, the GCF of Fractions 3435/532,6054/870 is 3/231420

Least Common Multiple of 532,870 with GCF Formula

Least Common Multiple of 532,870 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 532,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,870) = 2

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

GCF(532,870) x common factors =2 x 1 = 2

LCM(532,870) = ( 532 × 870 ) / 2

LCM(532,870) = 462840 / 2

LCM(532,870) = 231420


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 3435/532, 6054/870

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 3435/532, 6054/870?

Answer: GCF of Numerators as per given numbers 3435/532, 6054/870 is

GCF of Numerators i.e. for 3435,6054 is 3

LCM of denominators i.e. for 532,870 is 231420.

Thus, GCF of Fractions is 3/231420.Finally, GCF of Fractions for 3435/532, 6054/870 is 3/231420.