Greatest Common Factor of 694/134, 9040/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/134, 9040/286

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 694/134,9040/286

Given fractions are 694/134,9040/286

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 694,9040

Greatest Common Factor of Numerators i.e. GCF of 694,9040 is 2 .

LCM of Denominators means LCM of 134,286 as per the given fractions.

LCM of 134,286 is 19162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,9040

GCF of Fractions 694/134,9040/286 is 2/19162

2 694, 9040
347, 4520

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 694,9040 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,9040 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 9040

List of positive integer factors of 9040 that divides 9040 without a remainder.

1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040

Greatest Common Factor

We found the factors 694,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 694,9040 is 2.

Lets's calculate LCM of 134,286

2 134, 286
67, 143

∴ So the LCM of the given numbers is 2 x 67 x 143 = 19162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19162

Therefore, the GCF of Fractions 694/134,9040/286 is 2/19162

Least Common Multiple of 134,286 with GCF Formula

Least Common Multiple of 134,286 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 134,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,286) = 2

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

GCF(134,286) x common factors =2 x 1 = 2

LCM(134,286) = ( 134 × 286 ) / 2

LCM(134,286) = 38324 / 2

LCM(134,286) = 19162


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 694/134, 9040/286

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 694/134, 9040/286?

Answer: GCF of Numerators as per given numbers 694/134, 9040/286 is

GCF of Numerators i.e. for 694,9040 is 2

LCM of denominators i.e. for 134,286 is 19162.

Thus, GCF of Fractions is 2/19162.Finally, GCF of Fractions for 694/134, 9040/286 is 2/19162.