Greatest Common Factor of 1548/960, 1770/6275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1548/960, 1770/6275

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 1548/960,1770/6275

Given fractions are 1548/960,1770/6275

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 1548,1770

Greatest Common Factor of Numerators i.e. GCF of 1548,1770 is 6 .

LCM of Denominators means LCM of 960,6275 as per the given fractions.

LCM of 960,6275 is 1204800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1548,1770

GCF of Fractions 1548/960,1770/6275 is 6/1204800

2 1548, 1770
3 774, 885
258, 295

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1548,1770 By Matching Biggest Common Factor Method

Greatest Common Factor of 1548,1770 By Matching Biggest Common Factor Method

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Greatest Common Factor

We found the factors 1548,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,1770 is 6.

Lets's calculate LCM of 960,6275

5 960, 6275
192, 1255

∴ So the LCM of the given numbers is 5 x 192 x 1255 = 1204800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1204800

Therefore, the GCF of Fractions 1548/960,1770/6275 is 6/1204800

Least Common Multiple of 960,6275 with GCF Formula

Least Common Multiple of 960,6275 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 960,6275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,6275) = 5

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

GCF(960,6275) x common factors =5 x 1 = 5

LCM(960,6275) = ( 960 × 6275 ) / 5

LCM(960,6275) = 6024000 / 5

LCM(960,6275) = 1204800


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 1548/960, 1770/6275

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 1548/960, 1770/6275?

Answer: GCF of Numerators as per given numbers 1548/960, 1770/6275 is

GCF of Numerators i.e. for 1548,1770 is 6

LCM of denominators i.e. for 960,6275 is 1204800.

Thus, GCF of Fractions is 6/1204800.Finally, GCF of Fractions for 1548/960, 1770/6275 is 6/1204800.