Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/774,612/102,281/972
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 365,612,281
Greatest Common Factor of Numerators i.e. GCF of 365,612,281 is 1 .
LCM of Denominators means LCM of 774,102,972 as per the given fractions.
LCM of 774,102,972 is 710532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 365,612,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Greatest Common Factor
We found the factors 365,612,281 . The biggest common factor number is the GCF number.
So the greatest common factor 365,612,281 is 1.
Lets's calculate LCM of 774,102,972
2 | 774, 102, 972 |
3 | 387, 51, 486 |
3 | 129, 17, 162 |
43, 17, 54 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 17 x 54 = 710532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710532
Therefore, the GCF of Fractions 365/774,612/102,281/972 is 1/710532
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 774,102,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,102,972) = 6
common factors(in case of two or more numbers have common factors) = 18
GCF(774,102,972) x common factors =6 x 18 = 108
LCM(774,102,972) = ( 774 × 102 × 972 ) / 108
LCM(774,102,972) = 76737456 / 108
LCM(774,102,972) = 710532
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 365/774, 612/102, 281/972?
Answer: GCF of Numerators as per given numbers 365/774, 612/102, 281/972 is
GCF of Numerators i.e. for 365,612,281 is 1
LCM of denominators i.e. for 774,102,972 is 710532.
Thus, GCF of Fractions is 1/710532.Finally, GCF of Fractions for 365/774, 612/102, 281/972 is 1/710532.