Greatest Common Factor of 6434/983, 4116/1997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6434/983, 4116/1997

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 6434/983,4116/1997

Given fractions are 6434/983,4116/1997

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 6434,4116

Greatest Common Factor of Numerators i.e. GCF of 6434,4116 is 2 .

LCM of Denominators means LCM of 983,1997 as per the given fractions.

LCM of 983,1997 is 1963051 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6434,4116

GCF of Fractions 6434/983,4116/1997 is 2/1963051

2 6434, 4116
3217, 2058

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

Greatest Common Factor of 6434,4116 By Matching Biggest Common Factor Method

Greatest Common Factor of 6434,4116 By Matching Biggest Common Factor Method

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

Factors of 4116

List of positive integer factors of 4116 that divides 4116 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116

Greatest Common Factor

We found the factors 6434,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 6434,4116 is 2.

Lets's calculate LCM of 983,1997

Given numbers has no common factors except 1. So, there LCM is their product i.e 1963051

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1963051

Therefore, the GCF of Fractions 6434/983,4116/1997 is 2/1963051

Least Common Multiple of 983,1997 with GCF Formula

Least Common Multiple of 983,1997 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 983,1997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,1997) = 1

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

GCF(983,1997) x common factors =1 x 1 = 1

LCM(983,1997) = ( 983 × 1997 ) / 1

LCM(983,1997) = 1963051 / 1

LCM(983,1997) = 1963051


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 6434/983, 4116/1997

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 6434/983, 4116/1997?

Answer: GCF of Numerators as per given numbers 6434/983, 4116/1997 is

GCF of Numerators i.e. for 6434,4116 is 2

LCM of denominators i.e. for 983,1997 is 1963051.

Thus, GCF of Fractions is 2/1963051.Finally, GCF of Fractions for 6434/983, 4116/1997 is 2/1963051.