Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 787/22,767/72,550/840
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 787,767,550
Greatest Common Factor of Numerators i.e. GCF of 787,767,550 is 1 .
LCM of Denominators means LCM of 22,72,840 as per the given fractions.
LCM of 22,72,840 is 27720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 787,767,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 787,767,550 . The biggest common factor number is the GCF number.
So the greatest common factor 787,767,550 is 1.
Lets's calculate LCM of 22,72,840
2 | 22, 72, 840 |
2 | 11, 36, 420 |
2 | 11, 18, 210 |
3 | 11, 9, 105 |
11, 3, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 3 x 35 = 27720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27720
Therefore, the GCF of Fractions 787/22,767/72,550/840 is 1/27720
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 22,72,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,72,840) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(22,72,840) x common factors =2 x 24 = 48
LCM(22,72,840) = ( 22 × 72 × 840 ) / 48
LCM(22,72,840) = 1330560 / 48
LCM(22,72,840) = 27720
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 787/22, 767/72, 550/840?
Answer: GCF of Numerators as per given numbers 787/22, 767/72, 550/840 is
GCF of Numerators i.e. for 787,767,550 is 1
LCM of denominators i.e. for 22,72,840 is 27720.
Thus, GCF of Fractions is 1/27720.Finally, GCF of Fractions for 787/22, 767/72, 550/840 is 1/27720.