Greatest Common Factor of 283/437, 784/937, 756/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 283/437, 784/937, 756/599

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 283/437,784/937,756/599

Given fractions are 283/437,784/937,756/599

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 283,784,756

Greatest Common Factor of Numerators i.e. GCF of 283,784,756 is 1 .

LCM of Denominators means LCM of 437,937,599 as per the given fractions.

LCM of 437,937,599 is 245271931 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 283,784,756

GCF of Fractions 283/437,784/937,756/599 is 1/245271931

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

Greatest Common Factor of 283,784,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,784,756 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 283,784,756 . The biggest common factor number is the GCF number.
So the greatest common factor 283,784,756 is 1.

Lets's calculate LCM of 437,937,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 245271931

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245271931

Therefore, the GCF of Fractions 283/437,784/937,756/599 is 1/245271931

Least Common Multiple of 437,937,599 with GCF Formula

Least Common Multiple of 437,937,599 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 437,937,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,937,599) = 1

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

GCF(437,937,599) x common factors =1 x 1 = 1

LCM(437,937,599) = ( 437 × 937 × 599 ) / 1

LCM(437,937,599) = 245271931 / 1

LCM(437,937,599) = 245271931


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 283/437, 784/937, 756/599

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 283/437, 784/937, 756/599?

Answer: GCF of Numerators as per given numbers 283/437, 784/937, 756/599 is

GCF of Numerators i.e. for 283,784,756 is 1

LCM of denominators i.e. for 437,937,599 is 245271931.

Thus, GCF of Fractions is 1/245271931.Finally, GCF of Fractions for 283/437, 784/937, 756/599 is 1/245271931.