Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/259,767/802
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 988,767
Greatest Common Factor of Numerators i.e. GCF of 988,767 is 13 .
LCM of Denominators means LCM of 259,802 as per the given fractions.
LCM of 259,802 is 207718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,767
13 | 988, 767 |
76, 59 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 988,767 . The biggest common factor number is the GCF number.
So the greatest common factor 988,767 is 13.
Lets's calculate LCM of 259,802
Given numbers has no common factors except 1. So, there LCM is their product i.e 207718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/207718
Therefore, the GCF of Fractions 988/259,767/802 is 13/207718
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 259,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,802) x common factors =1 x 1 = 1
LCM(259,802) = ( 259 × 802 ) / 1
LCM(259,802) = 207718 / 1
LCM(259,802) = 207718
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 988/259, 767/802?
Answer: GCF of Numerators as per given numbers 988/259, 767/802 is
GCF of Numerators i.e. for 988,767 is 13
LCM of denominators i.e. for 259,802 is 207718.
Thus, GCF of Fractions is 13/207718.Finally, GCF of Fractions for 988/259, 767/802 is 13/207718.