Greatest Common Factor of 68/830, 86/257, 196/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/830, 86/257, 196/319

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 68/830,86/257,196/319

Given fractions are 68/830,86/257,196/319

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 68,86,196

Greatest Common Factor of Numerators i.e. GCF of 68,86,196 is 2 .

LCM of Denominators means LCM of 830,257,319 as per the given fractions.

LCM of 830,257,319 is 68045890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,86,196

GCF of Fractions 68/830,86/257,196/319 is 2/68045890

2 68, 86, 196
34, 43, 98

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 68,86,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,86,196 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 68,86,196 . The biggest common factor number is the GCF number.
So the greatest common factor 68,86,196 is 2.

Lets's calculate LCM of 830,257,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 68045890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68045890

Therefore, the GCF of Fractions 68/830,86/257,196/319 is 2/68045890

Least Common Multiple of 830,257,319 with GCF Formula

Least Common Multiple of 830,257,319 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 830,257,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,257,319) = 1

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

GCF(830,257,319) x common factors =1 x 1 = 1

LCM(830,257,319) = ( 830 × 257 × 319 ) / 1

LCM(830,257,319) = 68045890 / 1

LCM(830,257,319) = 68045890


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 68/830, 86/257, 196/319

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 68/830, 86/257, 196/319?

Answer: GCF of Numerators as per given numbers 68/830, 86/257, 196/319 is

GCF of Numerators i.e. for 68,86,196 is 2

LCM of denominators i.e. for 830,257,319 is 68045890.

Thus, GCF of Fractions is 2/68045890.Finally, GCF of Fractions for 68/830, 86/257, 196/319 is 2/68045890.