Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/370,4893/3717
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 702,4893
Greatest Common Factor of Numerators i.e. GCF of 702,4893 is 3 .
LCM of Denominators means LCM of 370,3717 as per the given fractions.
LCM of 370,3717 is 1375290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,4893
3 | 702, 4893 |
234, 1631 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 4893
List of positive integer factors of 4893 that divides 4893 without a remainder.
1,3,7,21,233,699,1631,4893
Greatest Common Factor
We found the factors 702,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 702,4893 is 3.
Lets's calculate LCM of 370,3717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1375290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1375290
Therefore, the GCF of Fractions 702/370,4893/3717 is 3/1375290
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 370,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,3717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,3717) x common factors =1 x 1 = 1
LCM(370,3717) = ( 370 × 3717 ) / 1
LCM(370,3717) = 1375290 / 1
LCM(370,3717) = 1375290
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 702/370, 4893/3717?
Answer: GCF of Numerators as per given numbers 702/370, 4893/3717 is
GCF of Numerators i.e. for 702,4893 is 3
LCM of denominators i.e. for 370,3717 is 1375290.
Thus, GCF of Fractions is 3/1375290.Finally, GCF of Fractions for 702/370, 4893/3717 is 3/1375290.