Greatest Common Factor of 18/70, 552/80, 699/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/70, 552/80, 699/534

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 18/70,552/80,699/534

Given fractions are 18/70,552/80,699/534

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 18,552,699

Greatest Common Factor of Numerators i.e. GCF of 18,552,699 is 3 .

LCM of Denominators means LCM of 70,80,534 as per the given fractions.

LCM of 70,80,534 is 149520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,552,699

GCF of Fractions 18/70,552/80,699/534 is 3/149520

3 18, 552, 699
6, 184, 233

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 18,552,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,552,699 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 18,552,699 . The biggest common factor number is the GCF number.
So the greatest common factor 18,552,699 is 3.

Lets's calculate LCM of 70,80,534

2 70, 80, 534
5 35, 40, 267
7, 8, 267

∴ So the LCM of the given numbers is 2 x 5 x 7 x 8 x 267 = 149520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149520

Therefore, the GCF of Fractions 18/70,552/80,699/534 is 3/149520

Least Common Multiple of 70,80,534 with GCF Formula

Least Common Multiple of 70,80,534 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 70,80,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,80,534) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,80,534) x common factors =2 x 10 = 20

LCM(70,80,534) = ( 70 × 80 × 534 ) / 20

LCM(70,80,534) = 2990400 / 20

LCM(70,80,534) = 149520


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 18/70, 552/80, 699/534

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 18/70, 552/80, 699/534?

Answer: GCF of Numerators as per given numbers 18/70, 552/80, 699/534 is

GCF of Numerators i.e. for 18,552,699 is 3

LCM of denominators i.e. for 70,80,534 is 149520.

Thus, GCF of Fractions is 3/149520.Finally, GCF of Fractions for 18/70, 552/80, 699/534 is 3/149520.