Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/92,73/78,889/473
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 44,73,889
Greatest Common Factor of Numerators i.e. GCF of 44,73,889 is 1 .
LCM of Denominators means LCM of 92,78,473 as per the given fractions.
LCM of 92,78,473 is 1697124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,73,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 44,73,889 . The biggest common factor number is the GCF number.
So the greatest common factor 44,73,889 is 1.
Lets's calculate LCM of 92,78,473
2 | 92, 78, 473 |
46, 39, 473 |
∴ So the LCM of the given numbers is 2 x 46 x 39 x 473 = 1697124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1697124
Therefore, the GCF of Fractions 44/92,73/78,889/473 is 1/1697124
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 92,78,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,78,473) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,78,473) x common factors =1 x 2 = 2
LCM(92,78,473) = ( 92 × 78 × 473 ) / 2
LCM(92,78,473) = 3394248 / 2
LCM(92,78,473) = 1697124
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 44/92, 73/78, 889/473?
Answer: GCF of Numerators as per given numbers 44/92, 73/78, 889/473 is
GCF of Numerators i.e. for 44,73,889 is 1
LCM of denominators i.e. for 92,78,473 is 1697124.
Thus, GCF of Fractions is 1/1697124.Finally, GCF of Fractions for 44/92, 73/78, 889/473 is 1/1697124.