Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 702/628,2056/5965
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 702,2056
Greatest Common Factor of Numerators i.e. GCF of 702,2056 is 2 .
LCM of Denominators means LCM of 628,5965 as per the given fractions.
LCM of 628,5965 is 3746020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 702,2056
2 | 702, 2056 |
351, 1028 |
∴ 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 2056
List of positive integer factors of 2056 that divides 2056 without a remainder.
1,2,4,8,257,514,1028,2056
Greatest Common Factor
We found the factors 702,2056 . The biggest common factor number is the GCF number.
So the greatest common factor 702,2056 is 2.
Lets's calculate LCM of 628,5965
Given numbers has no common factors except 1. So, there LCM is their product i.e 3746020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3746020
Therefore, the GCF of Fractions 702/628,2056/5965 is 2/3746020
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 628,5965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,5965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(628,5965) x common factors =1 x 1 = 1
LCM(628,5965) = ( 628 × 5965 ) / 1
LCM(628,5965) = 3746020 / 1
LCM(628,5965) = 3746020
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 702/628, 2056/5965?
Answer: GCF of Numerators as per given numbers 702/628, 2056/5965 is
GCF of Numerators i.e. for 702,2056 is 2
LCM of denominators i.e. for 628,5965 is 3746020.
Thus, GCF of Fractions is 2/3746020.Finally, GCF of Fractions for 702/628, 2056/5965 is 2/3746020.