Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/438,888/662,980/513
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 79,888,980
Greatest Common Factor of Numerators i.e. GCF of 79,888,980 is 1 .
LCM of Denominators means LCM of 438,662,513 as per the given fractions.
LCM of 438,662,513 is 24791238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,888,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 79,888,980 . The biggest common factor number is the GCF number.
So the greatest common factor 79,888,980 is 1.
Lets's calculate LCM of 438,662,513
2 | 438, 662, 513 |
3 | 219, 331, 513 |
73, 331, 171 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 331 x 171 = 24791238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24791238
Therefore, the GCF of Fractions 79/438,888/662,980/513 is 1/24791238
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 438,662,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,662,513) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(438,662,513) x common factors =1 x 6 = 6
LCM(438,662,513) = ( 438 × 662 × 513 ) / 6
LCM(438,662,513) = 148747428 / 6
LCM(438,662,513) = 24791238
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 79/438, 888/662, 980/513?
Answer: GCF of Numerators as per given numbers 79/438, 888/662, 980/513 is
GCF of Numerators i.e. for 79,888,980 is 1
LCM of denominators i.e. for 438,662,513 is 24791238.
Thus, GCF of Fractions is 1/24791238.Finally, GCF of Fractions for 79/438, 888/662, 980/513 is 1/24791238.