Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/50,829/24,255/78
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 875,829,255
Greatest Common Factor of Numerators i.e. GCF of 875,829,255 is 1 .
LCM of Denominators means LCM of 50,24,78 as per the given fractions.
LCM of 50,24,78 is 7800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,829,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 875,829,255 . The biggest common factor number is the GCF number.
So the greatest common factor 875,829,255 is 1.
Lets's calculate LCM of 50,24,78
2 | 50, 24, 78 |
3 | 25, 12, 39 |
25, 4, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 4 x 13 = 7800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7800
Therefore, the GCF of Fractions 875/50,829/24,255/78 is 1/7800
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 50,24,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,24,78) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(50,24,78) x common factors =2 x 6 = 12
LCM(50,24,78) = ( 50 × 24 × 78 ) / 12
LCM(50,24,78) = 93600 / 12
LCM(50,24,78) = 7800
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 875/50, 829/24, 255/78?
Answer: GCF of Numerators as per given numbers 875/50, 829/24, 255/78 is
GCF of Numerators i.e. for 875,829,255 is 1
LCM of denominators i.e. for 50,24,78 is 7800.
Thus, GCF of Fractions is 1/7800.Finally, GCF of Fractions for 875/50, 829/24, 255/78 is 1/7800.