Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/167,3084/473
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 702,3084
Greatest Common Factor of Numerators i.e. GCF of 702,3084 is 6 .
LCM of Denominators means LCM of 167,473 as per the given fractions.
LCM of 167,473 is 78991 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,3084
2 | 702, 3084 |
3 | 351, 1542 |
117, 514 |
∴ So the GCF of the given numbers is 2 x 3 = 6
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 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 702,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 702,3084 is 6.
Lets's calculate LCM of 167,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 78991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/78991
Therefore, the GCF of Fractions 702/167,3084/473 is 6/78991
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 167,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,473) x common factors =1 x 1 = 1
LCM(167,473) = ( 167 × 473 ) / 1
LCM(167,473) = 78991 / 1
LCM(167,473) = 78991
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 702/167, 3084/473?
Answer: GCF of Numerators as per given numbers 702/167, 3084/473 is
GCF of Numerators i.e. for 702,3084 is 6
LCM of denominators i.e. for 167,473 is 78991.
Thus, GCF of Fractions is 6/78991.Finally, GCF of Fractions for 702/167, 3084/473 is 6/78991.