Greatest Common Factor of 454/61, 694/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/61, 694/714

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 454/61,694/714

Given fractions are 454/61,694/714

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 454,694

Greatest Common Factor of Numerators i.e. GCF of 454,694 is 2 .

LCM of Denominators means LCM of 61,714 as per the given fractions.

LCM of 61,714 is 43554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,694

GCF of Fractions 454/61,694/714 is 2/43554

2 454, 694
227, 347

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

Greatest Common Factor of 454,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,694 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 694

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

1,2,347,694

Greatest Common Factor

We found the factors 454,694 . The biggest common factor number is the GCF number.
So the greatest common factor 454,694 is 2.

Lets's calculate LCM of 61,714

Given numbers has no common factors except 1. So, there LCM is their product i.e 43554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43554

Therefore, the GCF of Fractions 454/61,694/714 is 2/43554

Least Common Multiple of 61,714 with GCF Formula

Least Common Multiple of 61,714 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 61,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,714) = 1

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

GCF(61,714) x common factors =1 x 1 = 1

LCM(61,714) = ( 61 × 714 ) / 1

LCM(61,714) = 43554 / 1

LCM(61,714) = 43554


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 454/61, 694/714

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 454/61, 694/714?

Answer: GCF of Numerators as per given numbers 454/61, 694/714 is

GCF of Numerators i.e. for 454,694 is 2

LCM of denominators i.e. for 61,714 is 43554.

Thus, GCF of Fractions is 2/43554.Finally, GCF of Fractions for 454/61, 694/714 is 2/43554.