Greatest Common Factor of 1050/669, 3150/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1050/669, 3150/160

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 1050/669,3150/160

Given fractions are 1050/669,3150/160

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 1050,3150

Greatest Common Factor of Numerators i.e. GCF of 1050,3150 is 1050 .

LCM of Denominators means LCM of 669,160 as per the given fractions.

LCM of 669,160 is 107040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1050,3150

GCF of Fractions 1050/669,3150/160 is 1050/107040

2 1050, 3150
3 525, 1575
5 175, 525
5 35, 105
7 7, 21
1, 3

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 x 7 = 1050

Greatest Common Factor of 1050,3150 By Matching Biggest Common Factor Method

Greatest Common Factor of 1050,3150 By Matching Biggest Common Factor Method

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150

Greatest Common Factor

We found the factors 1050,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 1050,3150 is 1050.

Lets's calculate LCM of 669,160

Given numbers has no common factors except 1. So, there LCM is their product i.e 107040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1050/107040

Therefore, the GCF of Fractions 1050/669,3150/160 is 1050/107040

Least Common Multiple of 669,160 with GCF Formula

Least Common Multiple of 669,160 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 669,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,160) = 1

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

GCF(669,160) x common factors =1 x 1 = 1

LCM(669,160) = ( 669 × 160 ) / 1

LCM(669,160) = 107040 / 1

LCM(669,160) = 107040


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 1050/669, 3150/160

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 1050/669, 3150/160?

Answer: GCF of Numerators as per given numbers 1050/669, 3150/160 is

GCF of Numerators i.e. for 1050,3150 is 1050

LCM of denominators i.e. for 669,160 is 107040.

Thus, GCF of Fractions is 1050/107040.Finally, GCF of Fractions for 1050/669, 3150/160 is 1050/107040.