Greatest Common Factor of 3169/962, 4004/3438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3169/962, 4004/3438

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 3169/962,4004/3438

Given fractions are 3169/962,4004/3438

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 3169,4004

Greatest Common Factor of Numerators i.e. GCF of 3169,4004 is 1 .

LCM of Denominators means LCM of 962,3438 as per the given fractions.

LCM of 962,3438 is 1653678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3169,4004

GCF of Fractions 3169/962,4004/3438 is 1/1653678

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3169,4004 By Matching Biggest Common Factor Method

Greatest Common Factor of 3169,4004 By Matching Biggest Common Factor Method

Factors of 3169

List of positive integer factors of 3169 that divides 3169 without a remainder.

1,3169

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 3169,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 3169,4004 is 1.

Lets's calculate LCM of 962,3438

2 962, 3438
481, 1719

∴ So the LCM of the given numbers is 2 x 481 x 1719 = 1653678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1653678

Therefore, the GCF of Fractions 3169/962,4004/3438 is 1/1653678

Least Common Multiple of 962,3438 with GCF Formula

Least Common Multiple of 962,3438 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 962,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,3438) = 2

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

GCF(962,3438) x common factors =2 x 1 = 2

LCM(962,3438) = ( 962 × 3438 ) / 2

LCM(962,3438) = 3307356 / 2

LCM(962,3438) = 1653678


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 3169/962, 4004/3438

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 3169/962, 4004/3438?

Answer: GCF of Numerators as per given numbers 3169/962, 4004/3438 is

GCF of Numerators i.e. for 3169,4004 is 1

LCM of denominators i.e. for 962,3438 is 1653678.

Thus, GCF of Fractions is 1/1653678.Finally, GCF of Fractions for 3169/962, 4004/3438 is 1/1653678.