Greatest Common Factor of 68/707, 376/211, 140/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 68/707, 376/211, 140/719

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 68/707,376/211,140/719

Given fractions are 68/707,376/211,140/719

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 68,376,140

Greatest Common Factor of Numerators i.e. GCF of 68,376,140 is 4 .

LCM of Denominators means LCM of 707,211,719 as per the given fractions.

LCM of 707,211,719 is 107258263 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,376,140

GCF of Fractions 68/707,376/211,140/719 is 4/107258263

2 68, 376, 140
2 34, 188, 70
17, 94, 35

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,376,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,376,140 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 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 68,376,140 . The biggest common factor number is the GCF number.
So the greatest common factor 68,376,140 is 4.


Lets's calculate LCM of 707,211,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 107258263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/107258263

Therefore, the GCF of Fractions 68/707,376/211,140/719 is 4/107258263

Least Common Multiple of 707,211,719 with GCF Formula

Least Common Multiple of 707,211,719 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 707,211,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,211,719) = 1

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

GCF(707,211,719) x common factors =1 x 1 = 1

LCM(707,211,719) = ( 707 × 211 × 719 ) / 1

LCM(707,211,719) = 107258263 / 1

LCM(707,211,719) = 107258263


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 68/707, 376/211, 140/719

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 68/707, 376/211, 140/719?

Answer: GCF of Numerators as per given numbers 68/707, 376/211, 140/719 is

GCF of Numerators i.e. for 68,376,140 is 4

LCM of denominators i.e. for 707,211,719 is 107258263.

Thus, GCF of Fractions is 4/107258263.Finally, GCF of Fractions for 68/707, 376/211, 140/719 is 4/107258263.