Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/778,143/788
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 650,143
Greatest Common Factor of Numerators i.e. GCF of 650,143 is 13 .
LCM of Denominators means LCM of 778,788 as per the given fractions.
LCM of 778,788 is 306532 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 650,143
13 | 650, 143 |
50, 11 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 650,143 . The biggest common factor number is the GCF number.
So the greatest common factor 650,143 is 13.
Lets's calculate LCM of 778,788
2 | 778, 788 |
389, 394 |
∴ So the LCM of the given numbers is 2 x 389 x 394 = 306532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/306532
Therefore, the GCF of Fractions 650/778,143/788 is 13/306532
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 778,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,788) x common factors =2 x 1 = 2
LCM(778,788) = ( 778 × 788 ) / 2
LCM(778,788) = 613064 / 2
LCM(778,788) = 306532
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 650/778, 143/788?
Answer: GCF of Numerators as per given numbers 650/778, 143/788 is
GCF of Numerators i.e. for 650,143 is 13
LCM of denominators i.e. for 778,788 is 306532.
Thus, GCF of Fractions is 13/306532.Finally, GCF of Fractions for 650/778, 143/788 is 13/306532.