Greatest Common Factor of 8/71, 14/31, 10/474, 688/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/71, 14/31, 10/474, 688/353

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 8/71,14/31,10/474,688/353

Given fractions are 8/71,14/31,10/474,688/353

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 8,14,10,688

Greatest Common Factor of Numerators i.e. GCF of 8,14,10,688 is 2 .

LCM of Denominators means LCM of 71,31,474,353 as per the given fractions.

LCM of 71,31,474,353 is 368275722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,14,10,688

GCF of Fractions 8/71,14/31,10/474,688/353 is 2/368275722

2 8, 14, 10, 688
4, 7, 5, 344

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

Greatest Common Factor of 8,14,10,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,14,10,688 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 8,14,10,688 . The biggest common factor number is the GCF number.
So the greatest common factor 8,14,10,688 is 2.

Lets's calculate LCM of 71,31,474,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 368275722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/368275722

Therefore, the GCF of Fractions 8/71,14/31,10/474,688/353 is 2/368275722

Least Common Multiple of 71,31,474,353 with GCF Formula

Least Common Multiple of 71,31,474,353 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 71,31,474,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,31,474,353) = 1

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

GCF(71,31,474,353) x common factors =1 x 1 = 1

LCM(71,31,474,353) = ( 71 × 31 × 474 × 353 ) / 1

LCM(71,31,474,353) = 368275722 / 1

LCM(71,31,474,353) = 368275722


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 8/71, 14/31, 10/474, 688/353

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 8/71, 14/31, 10/474, 688/353?

Answer: GCF of Numerators as per given numbers 8/71, 14/31, 10/474, 688/353 is

GCF of Numerators i.e. for 8,14,10,688 is 2

LCM of denominators i.e. for 71,31,474,353 is 368275722.

Thus, GCF of Fractions is 2/368275722.Finally, GCF of Fractions for 8/71, 14/31, 10/474, 688/353 is 2/368275722.