Greatest Common Factor of 1673/350, 1512/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1673/350, 1512/602

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 1673/350,1512/602

Given fractions are 1673/350,1512/602

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 1673,1512

Greatest Common Factor of Numerators i.e. GCF of 1673,1512 is 7 .

LCM of Denominators means LCM of 350,602 as per the given fractions.

LCM of 350,602 is 15050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1673,1512

GCF of Fractions 1673/350,1512/602 is 7/15050

7 1673, 1512
239, 216

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1673,1512 By Matching Biggest Common Factor Method

Greatest Common Factor of 1673,1512 By Matching Biggest Common Factor Method

Factors of 1673

List of positive integer factors of 1673 that divides 1673 without a remainder.

1,7,239,1673

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Greatest Common Factor

We found the factors 1673,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 1673,1512 is 7.

Lets's calculate LCM of 350,602

2 350, 602
7 175, 301
25, 43

∴ So the LCM of the given numbers is 2 x 7 x 25 x 43 = 15050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15050

Therefore, the GCF of Fractions 1673/350,1512/602 is 7/15050

Least Common Multiple of 350,602 with GCF Formula

Least Common Multiple of 350,602 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 350,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,602) = 14

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

GCF(350,602) x common factors =14 x 1 = 14

LCM(350,602) = ( 350 × 602 ) / 14

LCM(350,602) = 210700 / 14

LCM(350,602) = 15050


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 1673/350, 1512/602

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 1673/350, 1512/602?

Answer: GCF of Numerators as per given numbers 1673/350, 1512/602 is

GCF of Numerators i.e. for 1673,1512 is 7

LCM of denominators i.e. for 350,602 is 15050.

Thus, GCF of Fractions is 7/15050.Finally, GCF of Fractions for 1673/350, 1512/602 is 7/15050.