Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 928/616,692/972,375/414
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 928,692,375
Greatest Common Factor of Numerators i.e. GCF of 928,692,375 is 1 .
LCM of Denominators means LCM of 616,972,414 as per the given fractions.
LCM of 616,972,414 is 3442824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 928,692,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 928,692,375 . The biggest common factor number is the GCF number.
So the greatest common factor 928,692,375 is 1.
Lets's calculate LCM of 616,972,414
2 | 616, 972, 414 |
2 | 308, 486, 207 |
3 | 154, 243, 207 |
3 | 154, 81, 69 |
154, 27, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 154 x 27 x 23 = 3442824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3442824
Therefore, the GCF of Fractions 928/616,692/972,375/414 is 1/3442824
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 616,972,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,972,414) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(616,972,414) x common factors =2 x 36 = 72
LCM(616,972,414) = ( 616 × 972 × 414 ) / 72
LCM(616,972,414) = 247883328 / 72
LCM(616,972,414) = 3442824
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 928/616, 692/972, 375/414?
Answer: GCF of Numerators as per given numbers 928/616, 692/972, 375/414 is
GCF of Numerators i.e. for 928,692,375 is 1
LCM of denominators i.e. for 616,972,414 is 3442824.
Thus, GCF of Fractions is 1/3442824.Finally, GCF of Fractions for 928/616, 692/972, 375/414 is 1/3442824.