Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 170/20,532/21,607/556
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 170,532,607
Greatest Common Factor of Numerators i.e. GCF of 170,532,607 is 1 .
LCM of Denominators means LCM of 20,21,556 as per the given fractions.
LCM of 20,21,556 is 58380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 170,532,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Greatest Common Factor
We found the factors 170,532,607 . The biggest common factor number is the GCF number.
So the greatest common factor 170,532,607 is 1.
Lets's calculate LCM of 20,21,556
2 | 20, 21, 556 |
2 | 10, 21, 278 |
5, 21, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 21 x 139 = 58380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58380
Therefore, the GCF of Fractions 170/20,532/21,607/556 is 1/58380
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 20,21,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,21,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,21,556) x common factors =1 x 4 = 4
LCM(20,21,556) = ( 20 × 21 × 556 ) / 4
LCM(20,21,556) = 233520 / 4
LCM(20,21,556) = 58380
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 170/20, 532/21, 607/556?
Answer: GCF of Numerators as per given numbers 170/20, 532/21, 607/556 is
GCF of Numerators i.e. for 170,532,607 is 1
LCM of denominators i.e. for 20,21,556 is 58380.
Thus, GCF of Fractions is 1/58380.Finally, GCF of Fractions for 170/20, 532/21, 607/556 is 1/58380.