Greatest Common Factor of 1694/701, 9933/1404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1694/701, 9933/1404

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 1694/701,9933/1404

Given fractions are 1694/701,9933/1404

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 1694,9933

Greatest Common Factor of Numerators i.e. GCF of 1694,9933 is 77 .

LCM of Denominators means LCM of 701,1404 as per the given fractions.

LCM of 701,1404 is 984204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1694,9933

GCF of Fractions 1694/701,9933/1404 is 77/984204

7 1694, 9933
11 242, 1419
22, 129

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 1694,9933 By Matching Biggest Common Factor Method

Greatest Common Factor of 1694,9933 By Matching Biggest Common Factor Method

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1,2,7,11,14,22,77,121,154,242,847,1694

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933

Greatest Common Factor

We found the factors 1694,9933 . The biggest common factor number is the GCF number.
So the greatest common factor 1694,9933 is 77.

Lets's calculate LCM of 701,1404

Given numbers has no common factors except 1. So, there LCM is their product i.e 984204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/984204

Therefore, the GCF of Fractions 1694/701,9933/1404 is 77/984204

Least Common Multiple of 701,1404 with GCF Formula

Least Common Multiple of 701,1404 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 701,1404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,1404) = 1

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

GCF(701,1404) x common factors =1 x 1 = 1

LCM(701,1404) = ( 701 × 1404 ) / 1

LCM(701,1404) = 984204 / 1

LCM(701,1404) = 984204


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 1694/701, 9933/1404

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 1694/701, 9933/1404?

Answer: GCF of Numerators as per given numbers 1694/701, 9933/1404 is

GCF of Numerators i.e. for 1694,9933 is 77

LCM of denominators i.e. for 701,1404 is 984204.

Thus, GCF of Fractions is 77/984204.Finally, GCF of Fractions for 1694/701, 9933/1404 is 77/984204.