Greatest Common Factor of 1269/984, 3228/3370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1269/984, 3228/3370

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 1269/984,3228/3370

Given fractions are 1269/984,3228/3370

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 1269,3228

Greatest Common Factor of Numerators i.e. GCF of 1269,3228 is 3 .

LCM of Denominators means LCM of 984,3370 as per the given fractions.

LCM of 984,3370 is 1658040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1269,3228

GCF of Fractions 1269/984,3228/3370 is 3/1658040

3 1269, 3228
423, 1076

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1269,3228 By Matching Biggest Common Factor Method

Greatest Common Factor of 1269,3228 By Matching Biggest Common Factor Method

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1,3,9,27,47,141,423,1269

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

Greatest Common Factor

We found the factors 1269,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 1269,3228 is 3.

Lets's calculate LCM of 984,3370

2 984, 3370
492, 1685

∴ So the LCM of the given numbers is 2 x 492 x 1685 = 1658040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1658040

Therefore, the GCF of Fractions 1269/984,3228/3370 is 3/1658040

Least Common Multiple of 984,3370 with GCF Formula

Least Common Multiple of 984,3370 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 984,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,3370) = 2

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

GCF(984,3370) x common factors =2 x 1 = 2

LCM(984,3370) = ( 984 × 3370 ) / 2

LCM(984,3370) = 3316080 / 2

LCM(984,3370) = 1658040


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 1269/984, 3228/3370

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 1269/984, 3228/3370?

Answer: GCF of Numerators as per given numbers 1269/984, 3228/3370 is

GCF of Numerators i.e. for 1269,3228 is 3

LCM of denominators i.e. for 984,3370 is 1658040.

Thus, GCF of Fractions is 3/1658040.Finally, GCF of Fractions for 1269/984, 3228/3370 is 3/1658040.