Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2822/180,4300/6002
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 2822,4300
Greatest Common Factor of Numerators i.e. GCF of 2822,4300 is 2 .
LCM of Denominators means LCM of 180,6002 as per the given fractions.
LCM of 180,6002 is 540180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2822,4300
2 | 2822, 4300 |
1411, 2150 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2822
List of positive integer factors of 2822 that divides 2822 without a remainder.
1,2,17,34,83,166,1411,2822
Factors of 4300
List of positive integer factors of 4300 that divides 4300 without a remainder.
1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Greatest Common Factor
We found the factors 2822,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 2822,4300 is 2.
Lets's calculate LCM of 180,6002
2 | 180, 6002 |
90, 3001 |
∴ So the LCM of the given numbers is 2 x 90 x 3001 = 540180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/540180
Therefore, the GCF of Fractions 2822/180,4300/6002 is 2/540180
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 180,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,6002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,6002) x common factors =2 x 1 = 2
LCM(180,6002) = ( 180 × 6002 ) / 2
LCM(180,6002) = 1080360 / 2
LCM(180,6002) = 540180
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 2822/180, 4300/6002?
Answer: GCF of Numerators as per given numbers 2822/180, 4300/6002 is
GCF of Numerators i.e. for 2822,4300 is 2
LCM of denominators i.e. for 180,6002 is 540180.
Thus, GCF of Fractions is 2/540180.Finally, GCF of Fractions for 2822/180, 4300/6002 is 2/540180.