Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/802,102/418
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 62,102
Greatest Common Factor of Numerators i.e. GCF of 62,102 is 2 .
LCM of Denominators means LCM of 802,418 as per the given fractions.
LCM of 802,418 is 167618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,102
2 | 62, 102 |
31, 51 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 62,102 . The biggest common factor number is the GCF number.
So the greatest common factor 62,102 is 2.
Lets's calculate LCM of 802,418
2 | 802, 418 |
401, 209 |
∴ So the LCM of the given numbers is 2 x 401 x 209 = 167618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167618
Therefore, the GCF of Fractions 62/802,102/418 is 2/167618
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 802,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,418) x common factors =2 x 1 = 2
LCM(802,418) = ( 802 × 418 ) / 2
LCM(802,418) = 335236 / 2
LCM(802,418) = 167618
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 62/802, 102/418?
Answer: GCF of Numerators as per given numbers 62/802, 102/418 is
GCF of Numerators i.e. for 62,102 is 2
LCM of denominators i.e. for 802,418 is 167618.
Thus, GCF of Fractions is 2/167618.Finally, GCF of Fractions for 62/802, 102/418 is 2/167618.