Greatest Common Factor of 964/69, 898/50, 509/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 964/69, 898/50, 509/89

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 964/69,898/50,509/89

Given fractions are 964/69,898/50,509/89

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 964,898,509

Greatest Common Factor of Numerators i.e. GCF of 964,898,509 is 1 .

LCM of Denominators means LCM of 69,50,89 as per the given fractions.

LCM of 69,50,89 is 307050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 964,898,509

GCF of Fractions 964/69,898/50,509/89 is 1/307050

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

Greatest Common Factor of 964,898,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,898,509 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 964,898,509 . The biggest common factor number is the GCF number.
So the greatest common factor 964,898,509 is 1.

Lets's calculate LCM of 69,50,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 307050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307050

Therefore, the GCF of Fractions 964/69,898/50,509/89 is 1/307050

Least Common Multiple of 69,50,89 with GCF Formula

Least Common Multiple of 69,50,89 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 69,50,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,50,89) = 1

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

GCF(69,50,89) x common factors =1 x 1 = 1

LCM(69,50,89) = ( 69 × 50 × 89 ) / 1

LCM(69,50,89) = 307050 / 1

LCM(69,50,89) = 307050


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 964/69, 898/50, 509/89

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 964/69, 898/50, 509/89?

Answer: GCF of Numerators as per given numbers 964/69, 898/50, 509/89 is

GCF of Numerators i.e. for 964,898,509 is 1

LCM of denominators i.e. for 69,50,89 is 307050.

Thus, GCF of Fractions is 1/307050.Finally, GCF of Fractions for 964/69, 898/50, 509/89 is 1/307050.