Greatest Common Factor of 1712/802, 7376/2054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1712/802, 7376/2054

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 1712/802,7376/2054

Given fractions are 1712/802,7376/2054

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 1712,7376

Greatest Common Factor of Numerators i.e. GCF of 1712,7376 is 16 .

LCM of Denominators means LCM of 802,2054 as per the given fractions.

LCM of 802,2054 is 823654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1712,7376

GCF of Fractions 1712/802,7376/2054 is 16/823654

2 1712, 7376
2 856, 3688
2 428, 1844
2 214, 922
107, 461

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1712,7376 By Matching Biggest Common Factor Method

Greatest Common Factor of 1712,7376 By Matching Biggest Common Factor Method

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Factors of 7376

List of positive integer factors of 7376 that divides 7376 without a remainder.

1,2,4,8,16,461,922,1844,3688,7376

Greatest Common Factor

We found the factors 1712,7376 . The biggest common factor number is the GCF number.
So the greatest common factor 1712,7376 is 16.

Lets's calculate LCM of 802,2054

2 802, 2054
401, 1027

∴ So the LCM of the given numbers is 2 x 401 x 1027 = 823654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/823654

Therefore, the GCF of Fractions 1712/802,7376/2054 is 16/823654

Least Common Multiple of 802,2054 with GCF Formula

Least Common Multiple of 802,2054 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 802,2054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,2054) = 2

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

GCF(802,2054) x common factors =2 x 1 = 2

LCM(802,2054) = ( 802 × 2054 ) / 2

LCM(802,2054) = 1647308 / 2

LCM(802,2054) = 823654


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 1712/802, 7376/2054

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 1712/802, 7376/2054?

Answer: GCF of Numerators as per given numbers 1712/802, 7376/2054 is

GCF of Numerators i.e. for 1712,7376 is 16

LCM of denominators i.e. for 802,2054 is 823654.

Thus, GCF of Fractions is 16/823654.Finally, GCF of Fractions for 1712/802, 7376/2054 is 16/823654.