Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/358,277/813,220/372
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 359,277,220
Greatest Common Factor of Numerators i.e. GCF of 359,277,220 is 1 .
LCM of Denominators means LCM of 358,813,372 as per the given fractions.
LCM of 358,813,372 is 18045348 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 359,277,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 359,277,220 . The biggest common factor number is the GCF number.
So the greatest common factor 359,277,220 is 1.
Lets's calculate LCM of 358,813,372
2 | 358, 813, 372 |
3 | 179, 813, 186 |
179, 271, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 179 x 271 x 62 = 18045348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18045348
Therefore, the GCF of Fractions 359/358,277/813,220/372 is 1/18045348
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 358,813,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,813,372) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(358,813,372) x common factors =1 x 6 = 6
LCM(358,813,372) = ( 358 × 813 × 372 ) / 6
LCM(358,813,372) = 108272088 / 6
LCM(358,813,372) = 18045348
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 359/358, 277/813, 220/372?
Answer: GCF of Numerators as per given numbers 359/358, 277/813, 220/372 is
GCF of Numerators i.e. for 359,277,220 is 1
LCM of denominators i.e. for 358,813,372 is 18045348.
Thus, GCF of Fractions is 1/18045348.Finally, GCF of Fractions for 359/358, 277/813, 220/372 is 1/18045348.