Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/71,992/3142
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 702,992
Greatest Common Factor of Numerators i.e. GCF of 702,992 is 2 .
LCM of Denominators means LCM of 71,3142 as per the given fractions.
LCM of 71,3142 is 223082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,992
2 | 702, 992 |
351, 496 |
∴ So the GCF of the given numbers is 2 = 2
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 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 702,992 . The biggest common factor number is the GCF number.
So the greatest common factor 702,992 is 2.
Lets's calculate LCM of 71,3142
Given numbers has no common factors except 1. So, there LCM is their product i.e 223082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/223082
Therefore, the GCF of Fractions 702/71,992/3142 is 2/223082
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 71,3142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,3142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,3142) x common factors =1 x 1 = 1
LCM(71,3142) = ( 71 × 3142 ) / 1
LCM(71,3142) = 223082 / 1
LCM(71,3142) = 223082
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 702/71, 992/3142?
Answer: GCF of Numerators as per given numbers 702/71, 992/3142 is
GCF of Numerators i.e. for 702,992 is 2
LCM of denominators i.e. for 71,3142 is 223082.
Thus, GCF of Fractions is 2/223082.Finally, GCF of Fractions for 702/71, 992/3142 is 2/223082.