Greatest Common Factor of 830/749, 965/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/749, 965/416

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 830/749,965/416

Given fractions are 830/749,965/416

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 830,965

Greatest Common Factor of Numerators i.e. GCF of 830,965 is 5 .

LCM of Denominators means LCM of 749,416 as per the given fractions.

LCM of 749,416 is 311584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,965

GCF of Fractions 830/749,965/416 is 5/311584

5 830, 965
166, 193

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 830,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,965 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 830,965 . The biggest common factor number is the GCF number.
So the greatest common factor 830,965 is 5.

Lets's calculate LCM of 749,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 311584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/311584

Therefore, the GCF of Fractions 830/749,965/416 is 5/311584

Least Common Multiple of 749,416 with GCF Formula

Least Common Multiple of 749,416 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 749,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,416) = 1

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

GCF(749,416) x common factors =1 x 1 = 1

LCM(749,416) = ( 749 × 416 ) / 1

LCM(749,416) = 311584 / 1

LCM(749,416) = 311584


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 830/749, 965/416

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 830/749, 965/416?

Answer: GCF of Numerators as per given numbers 830/749, 965/416 is

GCF of Numerators i.e. for 830,965 is 5

LCM of denominators i.e. for 749,416 is 311584.

Thus, GCF of Fractions is 5/311584.Finally, GCF of Fractions for 830/749, 965/416 is 5/311584.