Greatest Common Factor of 1265/45, 6228/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1265/45, 6228/149

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 1265/45,6228/149

Given fractions are 1265/45,6228/149

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 1265,6228

Greatest Common Factor of Numerators i.e. GCF of 1265,6228 is 1 .

LCM of Denominators means LCM of 45,149 as per the given fractions.

LCM of 45,149 is 6705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1265,6228

GCF of Fractions 1265/45,6228/149 is 1/6705

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

Greatest Common Factor of 1265,6228 By Matching Biggest Common Factor Method

Greatest Common Factor of 1265,6228 By Matching Biggest Common Factor Method

Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1,5,11,23,55,115,253,1265

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228

Greatest Common Factor

We found the factors 1265,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 1265,6228 is 1.

Lets's calculate LCM of 45,149

Given numbers has no common factors except 1. So, there LCM is their product i.e 6705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6705

Therefore, the GCF of Fractions 1265/45,6228/149 is 1/6705

Least Common Multiple of 45,149 with GCF Formula

Least Common Multiple of 45,149 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 45,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,149) = 1

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

GCF(45,149) x common factors =1 x 1 = 1

LCM(45,149) = ( 45 × 149 ) / 1

LCM(45,149) = 6705 / 1

LCM(45,149) = 6705


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 1265/45, 6228/149

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 1265/45, 6228/149?

Answer: GCF of Numerators as per given numbers 1265/45, 6228/149 is

GCF of Numerators i.e. for 1265,6228 is 1

LCM of denominators i.e. for 45,149 is 6705.

Thus, GCF of Fractions is 1/6705.Finally, GCF of Fractions for 1265/45, 6228/149 is 1/6705.