Greatest Common Factor of 1020/694, 2145/3840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1020/694, 2145/3840

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 1020/694,2145/3840

Given fractions are 1020/694,2145/3840

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 1020,2145

Greatest Common Factor of Numerators i.e. GCF of 1020,2145 is 15 .

LCM of Denominators means LCM of 694,3840 as per the given fractions.

LCM of 694,3840 is 1332480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1020,2145

GCF of Fractions 1020/694,2145/3840 is 15/1332480

3 1020, 2145
5 340, 715
68, 143

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 1020,2145 By Matching Biggest Common Factor Method

Greatest Common Factor of 1020,2145 By Matching Biggest Common Factor Method

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Greatest Common Factor

We found the factors 1020,2145 . The biggest common factor number is the GCF number.
So the greatest common factor 1020,2145 is 15.

Lets's calculate LCM of 694,3840

2 694, 3840
347, 1920

∴ So the LCM of the given numbers is 2 x 347 x 1920 = 1332480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1332480

Therefore, the GCF of Fractions 1020/694,2145/3840 is 15/1332480

Least Common Multiple of 694,3840 with GCF Formula

Least Common Multiple of 694,3840 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 694,3840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,3840) = 2

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

GCF(694,3840) x common factors =2 x 1 = 2

LCM(694,3840) = ( 694 × 3840 ) / 2

LCM(694,3840) = 2664960 / 2

LCM(694,3840) = 1332480


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 1020/694, 2145/3840

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 1020/694, 2145/3840?

Answer: GCF of Numerators as per given numbers 1020/694, 2145/3840 is

GCF of Numerators i.e. for 1020,2145 is 15

LCM of denominators i.e. for 694,3840 is 1332480.

Thus, GCF of Fractions is 15/1332480.Finally, GCF of Fractions for 1020/694, 2145/3840 is 15/1332480.