Greatest Common Factor of 295/684, 8440/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 295/684, 8440/319

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 295/684,8440/319

Given fractions are 295/684,8440/319

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 295,8440

Greatest Common Factor of Numerators i.e. GCF of 295,8440 is 5 .

LCM of Denominators means LCM of 684,319 as per the given fractions.

LCM of 684,319 is 218196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,8440

GCF of Fractions 295/684,8440/319 is 5/218196

5 295, 8440
59, 1688

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

Greatest Common Factor of 295,8440 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,8440 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1,2,4,5,8,10,20,40,211,422,844,1055,1688,2110,4220,8440

Greatest Common Factor

We found the factors 295,8440 . The biggest common factor number is the GCF number.
So the greatest common factor 295,8440 is 5.

Lets's calculate LCM of 684,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 218196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/218196

Therefore, the GCF of Fractions 295/684,8440/319 is 5/218196

Least Common Multiple of 684,319 with GCF Formula

Least Common Multiple of 684,319 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 684,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,319) = 1

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

GCF(684,319) x common factors =1 x 1 = 1

LCM(684,319) = ( 684 × 319 ) / 1

LCM(684,319) = 218196 / 1

LCM(684,319) = 218196


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 295/684, 8440/319

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 295/684, 8440/319?

Answer: GCF of Numerators as per given numbers 295/684, 8440/319 is

GCF of Numerators i.e. for 295,8440 is 5

LCM of denominators i.e. for 684,319 is 218196.

Thus, GCF of Fractions is 5/218196.Finally, GCF of Fractions for 295/684, 8440/319 is 5/218196.