Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/20,781/102
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 772,781
Greatest Common Factor of Numerators i.e. GCF of 772,781 is 1 .
LCM of Denominators means LCM of 20,102 as per the given fractions.
LCM of 20,102 is 1020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 772,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 772,781 . The biggest common factor number is the GCF number.
So the greatest common factor 772,781 is 1.
Lets's calculate LCM of 20,102
2 | 20, 102 |
10, 51 |
∴ So the LCM of the given numbers is 2 x 10 x 51 = 1020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1020
Therefore, the GCF of Fractions 772/20,781/102 is 1/1020
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 20,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,102) x common factors =2 x 1 = 2
LCM(20,102) = ( 20 × 102 ) / 2
LCM(20,102) = 2040 / 2
LCM(20,102) = 1020
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 772/20, 781/102?
Answer: GCF of Numerators as per given numbers 772/20, 781/102 is
GCF of Numerators i.e. for 772,781 is 1
LCM of denominators i.e. for 20,102 is 1020.
Thus, GCF of Fractions is 1/1020.Finally, GCF of Fractions for 772/20, 781/102 is 1/1020.