Greatest Common Factor of 2940/713, 3430/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2940/713, 3430/642

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 2940/713,3430/642

Given fractions are 2940/713,3430/642

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 2940,3430

Greatest Common Factor of Numerators i.e. GCF of 2940,3430 is 490 .

LCM of Denominators means LCM of 713,642 as per the given fractions.

LCM of 713,642 is 457746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2940,3430

GCF of Fractions 2940/713,3430/642 is 490/457746

2 2940, 3430
5 1470, 1715
7 294, 343
7 42, 49
6, 7

∴ So the GCF of the given numbers is 2 x 5 x 7 x 7 = 490

Greatest Common Factor of 2940,3430 By Matching Biggest Common Factor Method

Greatest Common Factor of 2940,3430 By Matching Biggest Common Factor Method

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430

Greatest Common Factor

We found the factors 2940,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 2940,3430 is 490.

Lets's calculate LCM of 713,642

Given numbers has no common factors except 1. So, there LCM is their product i.e 457746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 490/457746

Therefore, the GCF of Fractions 2940/713,3430/642 is 490/457746

Least Common Multiple of 713,642 with GCF Formula

Least Common Multiple of 713,642 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 713,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,642) = 1

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

GCF(713,642) x common factors =1 x 1 = 1

LCM(713,642) = ( 713 × 642 ) / 1

LCM(713,642) = 457746 / 1

LCM(713,642) = 457746


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 2940/713, 3430/642

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 2940/713, 3430/642?

Answer: GCF of Numerators as per given numbers 2940/713, 3430/642 is

GCF of Numerators i.e. for 2940,3430 is 490

LCM of denominators i.e. for 713,642 is 457746.

Thus, GCF of Fractions is 490/457746.Finally, GCF of Fractions for 2940/713, 3430/642 is 490/457746.