Greatest Common Factor of 3034/714, 6360/1005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3034/714, 6360/1005

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 3034/714,6360/1005

Given fractions are 3034/714,6360/1005

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 3034,6360

Greatest Common Factor of Numerators i.e. GCF of 3034,6360 is 2 .

LCM of Denominators means LCM of 714,1005 as per the given fractions.

LCM of 714,1005 is 239190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3034,6360

GCF of Fractions 3034/714,6360/1005 is 2/239190

2 3034, 6360
1517, 3180

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

Greatest Common Factor of 3034,6360 By Matching Biggest Common Factor Method

Greatest Common Factor of 3034,6360 By Matching Biggest Common Factor Method

Factors of 3034

List of positive integer factors of 3034 that divides 3034 without a remainder.

1,2,37,41,74,82,1517,3034

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Greatest Common Factor

We found the factors 3034,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 3034,6360 is 2.

Lets's calculate LCM of 714,1005

3 714, 1005
238, 335

∴ So the LCM of the given numbers is 3 x 238 x 335 = 239190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239190

Therefore, the GCF of Fractions 3034/714,6360/1005 is 2/239190

Least Common Multiple of 714,1005 with GCF Formula

Least Common Multiple of 714,1005 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 714,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,1005) = 3

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

GCF(714,1005) x common factors =3 x 1 = 3

LCM(714,1005) = ( 714 × 1005 ) / 3

LCM(714,1005) = 717570 / 3

LCM(714,1005) = 239190


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 3034/714, 6360/1005

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 3034/714, 6360/1005?

Answer: GCF of Numerators as per given numbers 3034/714, 6360/1005 is

GCF of Numerators i.e. for 3034,6360 is 2

LCM of denominators i.e. for 714,1005 is 239190.

Thus, GCF of Fractions is 2/239190.Finally, GCF of Fractions for 3034/714, 6360/1005 is 2/239190.