Greatest Common Factor of 689/19, 364/25, 329/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 689/19, 364/25, 329/977

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 689/19,364/25,329/977

Given fractions are 689/19,364/25,329/977

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 689,364,329

Greatest Common Factor of Numerators i.e. GCF of 689,364,329 is 1 .

LCM of Denominators means LCM of 19,25,977 as per the given fractions.

LCM of 19,25,977 is 464075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 689,364,329

GCF of Fractions 689/19,364/25,329/977 is 1/464075

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

Greatest Common Factor of 689,364,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,364,329 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 689,364,329 . The biggest common factor number is the GCF number.
So the greatest common factor 689,364,329 is 1.

Lets's calculate LCM of 19,25,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 464075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464075

Therefore, the GCF of Fractions 689/19,364/25,329/977 is 1/464075

Least Common Multiple of 19,25,977 with GCF Formula

Least Common Multiple of 19,25,977 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 19,25,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,25,977) = 1

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

GCF(19,25,977) x common factors =1 x 1 = 1

LCM(19,25,977) = ( 19 × 25 × 977 ) / 1

LCM(19,25,977) = 464075 / 1

LCM(19,25,977) = 464075


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 689/19, 364/25, 329/977

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 689/19, 364/25, 329/977?

Answer: GCF of Numerators as per given numbers 689/19, 364/25, 329/977 is

GCF of Numerators i.e. for 689,364,329 is 1

LCM of denominators i.e. for 19,25,977 is 464075.

Thus, GCF of Fractions is 1/464075.Finally, GCF of Fractions for 689/19, 364/25, 329/977 is 1/464075.