Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/10,374/47,232/213
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 84,374,232
Greatest Common Factor of Numerators i.e. GCF of 84,374,232 is 2 .
LCM of Denominators means LCM of 10,47,213 as per the given fractions.
LCM of 10,47,213 is 100110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,374,232
2 | 84, 374, 232 |
42, 187, 116 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 84,374,232 . The biggest common factor number is the GCF number.
So the greatest common factor 84,374,232 is 2.
Lets's calculate LCM of 10,47,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 100110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100110
Therefore, the GCF of Fractions 84/10,374/47,232/213 is 2/100110
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 10,47,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,47,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,47,213) x common factors =1 x 1 = 1
LCM(10,47,213) = ( 10 × 47 × 213 ) / 1
LCM(10,47,213) = 100110 / 1
LCM(10,47,213) = 100110
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 84/10, 374/47, 232/213?
Answer: GCF of Numerators as per given numbers 84/10, 374/47, 232/213 is
GCF of Numerators i.e. for 84,374,232 is 2
LCM of denominators i.e. for 10,47,213 is 100110.
Thus, GCF of Fractions is 2/100110.Finally, GCF of Fractions for 84/10, 374/47, 232/213 is 2/100110.