Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/37,94/58,17/493,156/361
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 7,94,17,156
Greatest Common Factor of Numerators i.e. GCF of 7,94,17,156 is 1 .
LCM of Denominators means LCM of 37,58,493,361 as per the given fractions.
LCM of 37,58,493,361 is 13170002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,94,17,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 7,94,17,156 . The biggest common factor number is the GCF number.
So the greatest common factor 7,94,17,156 is 1.
Lets's calculate LCM of 37,58,493,361
29 | 37, 58, 493, 361 |
37, 2, 17, 361 |
∴ So the LCM of the given numbers is 29 x 37 x 2 x 17 x 361 = 13170002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13170002
Therefore, the GCF of Fractions 7/37,94/58,17/493,156/361 is 1/13170002
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 37,58,493,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,58,493,361) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(37,58,493,361) x common factors =1 x 29 = 29
LCM(37,58,493,361) = ( 37 × 58 × 493 × 361 ) / 29
LCM(37,58,493,361) = 381930058 / 29
LCM(37,58,493,361) = 13170002
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 7/37, 94/58, 17/493, 156/361?
Answer: GCF of Numerators as per given numbers 7/37, 94/58, 17/493, 156/361 is
GCF of Numerators i.e. for 7,94,17,156 is 1
LCM of denominators i.e. for 37,58,493,361 is 13170002.
Thus, GCF of Fractions is 1/13170002.Finally, GCF of Fractions for 7/37, 94/58, 17/493, 156/361 is 1/13170002.