Greatest Common Factor of 830/54, 280/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 830/54, 280/623

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 830/54,280/623

Given fractions are 830/54,280/623

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 830,280

Greatest Common Factor of Numerators i.e. GCF of 830,280 is 10 .

LCM of Denominators means LCM of 54,623 as per the given fractions.

LCM of 54,623 is 33642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 830,280

GCF of Fractions 830/54,280/623 is 10/33642

2 830, 280
5 415, 140
83, 28

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 830,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,280 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 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 830,280 . The biggest common factor number is the GCF number.
So the greatest common factor 830,280 is 10.

Lets's calculate LCM of 54,623

Given numbers has no common factors except 1. So, there LCM is their product i.e 33642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/33642

Therefore, the GCF of Fractions 830/54,280/623 is 10/33642

Least Common Multiple of 54,623 with GCF Formula

Least Common Multiple of 54,623 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 54,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,623) = 1

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

GCF(54,623) x common factors =1 x 1 = 1

LCM(54,623) = ( 54 × 623 ) / 1

LCM(54,623) = 33642 / 1

LCM(54,623) = 33642


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 830/54, 280/623

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 830/54, 280/623?

Answer: GCF of Numerators as per given numbers 830/54, 280/623 is

GCF of Numerators i.e. for 830,280 is 10

LCM of denominators i.e. for 54,623 is 33642.

Thus, GCF of Fractions is 10/33642.Finally, GCF of Fractions for 830/54, 280/623 is 10/33642.