Greatest Common Factor of 1662/15, 8840/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1662/15, 8840/712

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 1662/15,8840/712

Given fractions are 1662/15,8840/712

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 1662,8840

Greatest Common Factor of Numerators i.e. GCF of 1662,8840 is 2 .

LCM of Denominators means LCM of 15,712 as per the given fractions.

LCM of 15,712 is 10680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1662,8840

GCF of Fractions 1662/15,8840/712 is 2/10680

2 1662, 8840
831, 4420

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1662,8840 By Matching Biggest Common Factor Method

Greatest Common Factor of 1662,8840 By Matching Biggest Common Factor Method

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1,2,3,6,277,554,831,1662

Factors of 8840

List of positive integer factors of 8840 that divides 8840 without a remainder.

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Greatest Common Factor

We found the factors 1662,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 1662,8840 is 2.

Lets's calculate LCM of 15,712

Given numbers has no common factors except 1. So, there LCM is their product i.e 10680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10680

Therefore, the GCF of Fractions 1662/15,8840/712 is 2/10680

Least Common Multiple of 15,712 with GCF Formula

Least Common Multiple of 15,712 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 15,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,712) = 1

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

GCF(15,712) x common factors =1 x 1 = 1

LCM(15,712) = ( 15 × 712 ) / 1

LCM(15,712) = 10680 / 1

LCM(15,712) = 10680


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 1662/15, 8840/712

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 1662/15, 8840/712?

Answer: GCF of Numerators as per given numbers 1662/15, 8840/712 is

GCF of Numerators i.e. for 1662,8840 is 2

LCM of denominators i.e. for 15,712 is 10680.

Thus, GCF of Fractions is 2/10680.Finally, GCF of Fractions for 1662/15, 8840/712 is 2/10680.