Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8902/570,7002/181
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 8902,7002
Greatest Common Factor of Numerators i.e. GCF of 8902,7002 is 2 .
LCM of Denominators means LCM of 570,181 as per the given fractions.
LCM of 570,181 is 103170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8902,7002
2 | 8902, 7002 |
4451, 3501 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8902
List of positive integer factors of 8902 that divides 8902 without a remainder.
1,2,4451,8902
Factors of 7002
List of positive integer factors of 7002 that divides 7002 without a remainder.
1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 8902,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 8902,7002 is 2.
Lets's calculate LCM of 570,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 103170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103170
Therefore, the GCF of Fractions 8902/570,7002/181 is 2/103170
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 570,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(570,181) x common factors =1 x 1 = 1
LCM(570,181) = ( 570 × 181 ) / 1
LCM(570,181) = 103170 / 1
LCM(570,181) = 103170
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 8902/570, 7002/181?
Answer: GCF of Numerators as per given numbers 8902/570, 7002/181 is
GCF of Numerators i.e. for 8902,7002 is 2
LCM of denominators i.e. for 570,181 is 103170.
Thus, GCF of Fractions is 2/103170.Finally, GCF of Fractions for 8902/570, 7002/181 is 2/103170.