Greatest Common Factor of 1784/763, 6971/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1784/763, 6971/995

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 1784/763,6971/995

Given fractions are 1784/763,6971/995

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 1784,6971

Greatest Common Factor of Numerators i.e. GCF of 1784,6971 is 1 .

LCM of Denominators means LCM of 763,995 as per the given fractions.

LCM of 763,995 is 759185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1784,6971

GCF of Fractions 1784/763,6971/995 is 1/759185

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

Greatest Common Factor of 1784,6971 By Matching Biggest Common Factor Method

Greatest Common Factor of 1784,6971 By Matching Biggest Common Factor Method

Factors of 1784

List of positive integer factors of 1784 that divides 1784 without a remainder.

1,2,4,8,223,446,892,1784

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1,6971

Greatest Common Factor

We found the factors 1784,6971 . The biggest common factor number is the GCF number.
So the greatest common factor 1784,6971 is 1.

Lets's calculate LCM of 763,995

Given numbers has no common factors except 1. So, there LCM is their product i.e 759185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/759185

Therefore, the GCF of Fractions 1784/763,6971/995 is 1/759185

Least Common Multiple of 763,995 with GCF Formula

Least Common Multiple of 763,995 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 763,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,995) = 1

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

GCF(763,995) x common factors =1 x 1 = 1

LCM(763,995) = ( 763 × 995 ) / 1

LCM(763,995) = 759185 / 1

LCM(763,995) = 759185


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 1784/763, 6971/995

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 1784/763, 6971/995?

Answer: GCF of Numerators as per given numbers 1784/763, 6971/995 is

GCF of Numerators i.e. for 1784,6971 is 1

LCM of denominators i.e. for 763,995 is 759185.

Thus, GCF of Fractions is 1/759185.Finally, GCF of Fractions for 1784/763, 6971/995 is 1/759185.