Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/945,621/880,452/970
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 892,621,452
Greatest Common Factor of Numerators i.e. GCF of 892,621,452 is 1 .
LCM of Denominators means LCM of 945,880,970 as per the given fractions.
LCM of 945,880,970 is 16133040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,621,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 892,621,452 . The biggest common factor number is the GCF number.
So the greatest common factor 892,621,452 is 1.
Lets's calculate LCM of 945,880,970
2 | 945, 880, 970 |
5 | 945, 440, 485 |
189, 88, 97 |
∴ So the LCM of the given numbers is 2 x 5 x 189 x 88 x 97 = 16133040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16133040
Therefore, the GCF of Fractions 892/945,621/880,452/970 is 1/16133040
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 945,880,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,880,970) = 5
common factors(in case of two or more numbers have common factors) = 10
GCF(945,880,970) x common factors =5 x 10 = 50
LCM(945,880,970) = ( 945 × 880 × 970 ) / 50
LCM(945,880,970) = 806652000 / 50
LCM(945,880,970) = 16133040
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 892/945, 621/880, 452/970?
Answer: GCF of Numerators as per given numbers 892/945, 621/880, 452/970 is
GCF of Numerators i.e. for 892,621,452 is 1
LCM of denominators i.e. for 945,880,970 is 16133040.
Thus, GCF of Fractions is 1/16133040.Finally, GCF of Fractions for 892/945, 621/880, 452/970 is 1/16133040.