Greatest Common Factor of 293/803, 7332/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 293/803, 7332/956

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 293/803,7332/956

Given fractions are 293/803,7332/956

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 293,7332

Greatest Common Factor of Numerators i.e. GCF of 293,7332 is 1 .

LCM of Denominators means LCM of 803,956 as per the given fractions.

LCM of 803,956 is 767668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 293,7332

GCF of Fractions 293/803,7332/956 is 1/767668

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

Greatest Common Factor of 293,7332 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,7332 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Greatest Common Factor

We found the factors 293,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 293,7332 is 1.


Lets's calculate LCM of 803,956

Given numbers has no common factors except 1. So, there LCM is their product i.e 767668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767668

Therefore, the GCF of Fractions 293/803,7332/956 is 1/767668

Least Common Multiple of 803,956 with GCF Formula

Least Common Multiple of 803,956 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 803,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,956) = 1

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

GCF(803,956) x common factors =1 x 1 = 1

LCM(803,956) = ( 803 × 956 ) / 1

LCM(803,956) = 767668 / 1

LCM(803,956) = 767668


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 293/803, 7332/956

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 293/803, 7332/956?

Answer: GCF of Numerators as per given numbers 293/803, 7332/956 is

GCF of Numerators i.e. for 293,7332 is 1

LCM of denominators i.e. for 803,956 is 767668.

Thus, GCF of Fractions is 1/767668.Finally, GCF of Fractions for 293/803, 7332/956 is 1/767668.