Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 975/43,427/60,742/22
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 975,427,742
Greatest Common Factor of Numerators i.e. GCF of 975,427,742 is 1 .
LCM of Denominators means LCM of 43,60,22 as per the given fractions.
LCM of 43,60,22 is 28380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 975,427,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 975,427,742 . The biggest common factor number is the GCF number.
So the greatest common factor 975,427,742 is 1.
Lets's calculate LCM of 43,60,22
2 | 43, 60, 22 |
43, 30, 11 |
∴ So the LCM of the given numbers is 2 x 43 x 30 x 11 = 28380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28380
Therefore, the GCF of Fractions 975/43,427/60,742/22 is 1/28380
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 43,60,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,60,22) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,60,22) x common factors =1 x 2 = 2
LCM(43,60,22) = ( 43 × 60 × 22 ) / 2
LCM(43,60,22) = 56760 / 2
LCM(43,60,22) = 28380
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 975/43, 427/60, 742/22?
Answer: GCF of Numerators as per given numbers 975/43, 427/60, 742/22 is
GCF of Numerators i.e. for 975,427,742 is 1
LCM of denominators i.e. for 43,60,22 is 28380.
Thus, GCF of Fractions is 1/28380.Finally, GCF of Fractions for 975/43, 427/60, 742/22 is 1/28380.