Greatest Common Factor of 1785/93, 6300/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1785/93, 6300/141

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 1785/93,6300/141

Given fractions are 1785/93,6300/141

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 1785,6300

Greatest Common Factor of Numerators i.e. GCF of 1785,6300 is 105 .

LCM of Denominators means LCM of 93,141 as per the given fractions.

LCM of 93,141 is 4371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1785,6300

GCF of Fractions 1785/93,6300/141 is 105/4371

3 1785, 6300
5 595, 2100
7 119, 420
17, 60

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Greatest Common Factor of 1785,6300 By Matching Biggest Common Factor Method

Greatest Common Factor of 1785,6300 By Matching Biggest Common Factor Method

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300

Greatest Common Factor

We found the factors 1785,6300 . The biggest common factor number is the GCF number.
So the greatest common factor 1785,6300 is 105.

Lets's calculate LCM of 93,141

3 93, 141
31, 47

∴ So the LCM of the given numbers is 3 x 31 x 47 = 4371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 105/4371

Therefore, the GCF of Fractions 1785/93,6300/141 is 105/4371

Least Common Multiple of 93,141 with GCF Formula

Least Common Multiple of 93,141 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 93,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,141) = 3

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

GCF(93,141) x common factors =3 x 1 = 3

LCM(93,141) = ( 93 × 141 ) / 3

LCM(93,141) = 13113 / 3

LCM(93,141) = 4371


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 1785/93, 6300/141

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 1785/93, 6300/141?

Answer: GCF of Numerators as per given numbers 1785/93, 6300/141 is

GCF of Numerators i.e. for 1785,6300 is 105

LCM of denominators i.e. for 93,141 is 4371.

Thus, GCF of Fractions is 105/4371.Finally, GCF of Fractions for 1785/93, 6300/141 is 105/4371.