Greatest Common Factor of 688/414, 5854/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/414, 5854/125

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 688/414,5854/125

Given fractions are 688/414,5854/125

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 688,5854

Greatest Common Factor of Numerators i.e. GCF of 688,5854 is 2 .

LCM of Denominators means LCM of 414,125 as per the given fractions.

LCM of 414,125 is 51750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,5854

GCF of Fractions 688/414,5854/125 is 2/51750

2 688, 5854
344, 2927

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

Greatest Common Factor of 688,5854 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,5854 By Matching Biggest Common Factor Method

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

Factors of 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1,2,2927,5854

Greatest Common Factor

We found the factors 688,5854 . The biggest common factor number is the GCF number.
So the greatest common factor 688,5854 is 2.

Lets's calculate LCM of 414,125

Given numbers has no common factors except 1. So, there LCM is their product i.e 51750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51750

Therefore, the GCF of Fractions 688/414,5854/125 is 2/51750

Least Common Multiple of 414,125 with GCF Formula

Least Common Multiple of 414,125 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 414,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,125) = 1

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

GCF(414,125) x common factors =1 x 1 = 1

LCM(414,125) = ( 414 × 125 ) / 1

LCM(414,125) = 51750 / 1

LCM(414,125) = 51750


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 688/414, 5854/125

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 688/414, 5854/125?

Answer: GCF of Numerators as per given numbers 688/414, 5854/125 is

GCF of Numerators i.e. for 688,5854 is 2

LCM of denominators i.e. for 414,125 is 51750.

Thus, GCF of Fractions is 2/51750.Finally, GCF of Fractions for 688/414, 5854/125 is 2/51750.