Greatest Common Factor of 732/775, 1704/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/775, 1704/994

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 732/775,1704/994

Given fractions are 732/775,1704/994

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 732,1704

Greatest Common Factor of Numerators i.e. GCF of 732,1704 is 12 .

LCM of Denominators means LCM of 775,994 as per the given fractions.

LCM of 775,994 is 770350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,1704

GCF of Fractions 732/775,1704/994 is 12/770350

2 732, 1704
2 366, 852
3 183, 426
61, 142

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 732,1704 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,1704 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Greatest Common Factor

We found the factors 732,1704 . The biggest common factor number is the GCF number.
So the greatest common factor 732,1704 is 12.

Lets's calculate LCM of 775,994

Given numbers has no common factors except 1. So, there LCM is their product i.e 770350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/770350

Therefore, the GCF of Fractions 732/775,1704/994 is 12/770350

Least Common Multiple of 775,994 with GCF Formula

Least Common Multiple of 775,994 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 775,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,994) = 1

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

GCF(775,994) x common factors =1 x 1 = 1

LCM(775,994) = ( 775 × 994 ) / 1

LCM(775,994) = 770350 / 1

LCM(775,994) = 770350


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 732/775, 1704/994

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 732/775, 1704/994?

Answer: GCF of Numerators as per given numbers 732/775, 1704/994 is

GCF of Numerators i.e. for 732,1704 is 12

LCM of denominators i.e. for 775,994 is 770350.

Thus, GCF of Fractions is 12/770350.Finally, GCF of Fractions for 732/775, 1704/994 is 12/770350.