Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/399,195/250,140/807
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 89,195,140
Greatest Common Factor of Numerators i.e. GCF of 89,195,140 is 1 .
LCM of Denominators means LCM of 399,250,807 as per the given fractions.
LCM of 399,250,807 is 26832750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,195,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 89,195,140 . The biggest common factor number is the GCF number.
So the greatest common factor 89,195,140 is 1.
Lets's calculate LCM of 399,250,807
3 | 399, 250, 807 |
133, 250, 269 |
∴ So the LCM of the given numbers is 3 x 133 x 250 x 269 = 26832750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26832750
Therefore, the GCF of Fractions 89/399,195/250,140/807 is 1/26832750
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 399,250,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,250,807) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(399,250,807) x common factors =1 x 3 = 3
LCM(399,250,807) = ( 399 × 250 × 807 ) / 3
LCM(399,250,807) = 80498250 / 3
LCM(399,250,807) = 26832750
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 89/399, 195/250, 140/807?
Answer: GCF of Numerators as per given numbers 89/399, 195/250, 140/807 is
GCF of Numerators i.e. for 89,195,140 is 1
LCM of denominators i.e. for 399,250,807 is 26832750.
Thus, GCF of Fractions is 1/26832750.Finally, GCF of Fractions for 89/399, 195/250, 140/807 is 1/26832750.