Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/95,154/50,173/812
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 624,154,173
Greatest Common Factor of Numerators i.e. GCF of 624,154,173 is 1 .
LCM of Denominators means LCM of 95,50,812 as per the given fractions.
LCM of 95,50,812 is 385700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,154,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 624,154,173 . The biggest common factor number is the GCF number.
So the greatest common factor 624,154,173 is 1.
Lets's calculate LCM of 95,50,812
2 | 95, 50, 812 |
5 | 95, 25, 406 |
19, 5, 406 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 5 x 406 = 385700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385700
Therefore, the GCF of Fractions 624/95,154/50,173/812 is 1/385700
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 95,50,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,50,812) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(95,50,812) x common factors =1 x 10 = 10
LCM(95,50,812) = ( 95 × 50 × 812 ) / 10
LCM(95,50,812) = 3857000 / 10
LCM(95,50,812) = 385700
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 624/95, 154/50, 173/812?
Answer: GCF of Numerators as per given numbers 624/95, 154/50, 173/812 is
GCF of Numerators i.e. for 624,154,173 is 1
LCM of denominators i.e. for 95,50,812 is 385700.
Thus, GCF of Fractions is 1/385700.Finally, GCF of Fractions for 624/95, 154/50, 173/812 is 1/385700.