Greatest Common Factor of 88/800, 761/626, 814/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/800, 761/626, 814/719

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 88/800,761/626,814/719

Given fractions are 88/800,761/626,814/719

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 88,761,814

Greatest Common Factor of Numerators i.e. GCF of 88,761,814 is 1 .

LCM of Denominators means LCM of 800,626,719 as per the given fractions.

LCM of 800,626,719 is 180037600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,761,814

GCF of Fractions 88/800,761/626,814/719 is 1/180037600

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 88,761,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,761,814 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 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 88,761,814 . The biggest common factor number is the GCF number.
So the greatest common factor 88,761,814 is 1.

Lets's calculate LCM of 800,626,719

2 800, 626, 719
400, 313, 719

∴ So the LCM of the given numbers is 2 x 400 x 313 x 719 = 180037600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180037600

Therefore, the GCF of Fractions 88/800,761/626,814/719 is 1/180037600

Least Common Multiple of 800,626,719 with GCF Formula

Least Common Multiple of 800,626,719 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 800,626,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,626,719) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(800,626,719) x common factors =1 x 2 = 2

LCM(800,626,719) = ( 800 × 626 × 719 ) / 2

LCM(800,626,719) = 360075200 / 2

LCM(800,626,719) = 180037600


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 88/800, 761/626, 814/719

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 88/800, 761/626, 814/719?

Answer: GCF of Numerators as per given numbers 88/800, 761/626, 814/719 is

GCF of Numerators i.e. for 88,761,814 is 1

LCM of denominators i.e. for 800,626,719 is 180037600.

Thus, GCF of Fractions is 1/180037600.Finally, GCF of Fractions for 88/800, 761/626, 814/719 is 1/180037600.