Greatest Common Factor of 694/67, 3914/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/67, 3914/334

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 694/67,3914/334

Given fractions are 694/67,3914/334

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 694,3914

Greatest Common Factor of Numerators i.e. GCF of 694,3914 is 2 .

LCM of Denominators means LCM of 67,334 as per the given fractions.

LCM of 67,334 is 22378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,3914

GCF of Fractions 694/67,3914/334 is 2/22378

2 694, 3914
347, 1957

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

Greatest Common Factor of 694,3914 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,3914 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 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1,2,19,38,103,206,1957,3914

Greatest Common Factor

We found the factors 694,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 694,3914 is 2.

Lets's calculate LCM of 67,334

Given numbers has no common factors except 1. So, there LCM is their product i.e 22378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22378

Therefore, the GCF of Fractions 694/67,3914/334 is 2/22378

Least Common Multiple of 67,334 with GCF Formula

Least Common Multiple of 67,334 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 67,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,334) = 1

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

GCF(67,334) x common factors =1 x 1 = 1

LCM(67,334) = ( 67 × 334 ) / 1

LCM(67,334) = 22378 / 1

LCM(67,334) = 22378


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 694/67, 3914/334

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 694/67, 3914/334?

Answer: GCF of Numerators as per given numbers 694/67, 3914/334 is

GCF of Numerators i.e. for 694,3914 is 2

LCM of denominators i.e. for 67,334 is 22378.

Thus, GCF of Fractions is 2/22378.Finally, GCF of Fractions for 694/67, 3914/334 is 2/22378.