Greatest Common Factor of 88/34, 800/21, 758/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/34, 800/21, 758/434

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 88/34,800/21,758/434

Given fractions are 88/34,800/21,758/434

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 88,800,758

Greatest Common Factor of Numerators i.e. GCF of 88,800,758 is 2 .

LCM of Denominators means LCM of 34,21,434 as per the given fractions.

LCM of 34,21,434 is 22134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,800,758

GCF of Fractions 88/34,800/21,758/434 is 2/22134

2 88, 800, 758
44, 400, 379

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

Greatest Common Factor of 88,800,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,800,758 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 88,800,758 . The biggest common factor number is the GCF number.
So the greatest common factor 88,800,758 is 2.

Lets's calculate LCM of 34,21,434

2 34, 21, 434
7 17, 21, 217
17, 3, 31

∴ So the LCM of the given numbers is 2 x 7 x 17 x 3 x 31 = 22134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22134

Therefore, the GCF of Fractions 88/34,800/21,758/434 is 2/22134

Least Common Multiple of 34,21,434 with GCF Formula

Least Common Multiple of 34,21,434 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 34,21,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,21,434) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(34,21,434) x common factors =1 x 14 = 14

LCM(34,21,434) = ( 34 × 21 × 434 ) / 14

LCM(34,21,434) = 309876 / 14

LCM(34,21,434) = 22134


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 88/34, 800/21, 758/434

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 88/34, 800/21, 758/434?

Answer: GCF of Numerators as per given numbers 88/34, 800/21, 758/434 is

GCF of Numerators i.e. for 88,800,758 is 2

LCM of denominators i.e. for 34,21,434 is 22134.

Thus, GCF of Fractions is 2/22134.Finally, GCF of Fractions for 88/34, 800/21, 758/434 is 2/22134.