Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/400,4380/2211
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 612,4380
Greatest Common Factor of Numerators i.e. GCF of 612,4380 is 12 .
LCM of Denominators means LCM of 400,2211 as per the given fractions.
LCM of 400,2211 is 884400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 612,4380
2 | 612, 4380 |
2 | 306, 2190 |
3 | 153, 1095 |
51, 365 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 4380
List of positive integer factors of 4380 that divides 4380 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,73,146,219,292,365,438,730,876,1095,1460,2190,4380
Greatest Common Factor
We found the factors 612,4380 . The biggest common factor number is the GCF number.
So the greatest common factor 612,4380 is 12.
Lets's calculate LCM of 400,2211
Given numbers has no common factors except 1. So, there LCM is their product i.e 884400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/884400
Therefore, the GCF of Fractions 612/400,4380/2211 is 12/884400
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 400,2211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,2211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,2211) x common factors =1 x 1 = 1
LCM(400,2211) = ( 400 × 2211 ) / 1
LCM(400,2211) = 884400 / 1
LCM(400,2211) = 884400
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 612/400, 4380/2211?
Answer: GCF of Numerators as per given numbers 612/400, 4380/2211 is
GCF of Numerators i.e. for 612,4380 is 12
LCM of denominators i.e. for 400,2211 is 884400.
Thus, GCF of Fractions is 12/884400.Finally, GCF of Fractions for 612/400, 4380/2211 is 12/884400.