Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/74,822/79,988/20
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 9,822,988
Greatest Common Factor of Numerators i.e. GCF of 9,822,988 is 1 .
LCM of Denominators means LCM of 74,79,20 as per the given fractions.
LCM of 74,79,20 is 58460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,822,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 9,822,988 . The biggest common factor number is the GCF number.
So the greatest common factor 9,822,988 is 1.
Lets's calculate LCM of 74,79,20
2 | 74, 79, 20 |
37, 79, 10 |
∴ So the LCM of the given numbers is 2 x 37 x 79 x 10 = 58460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58460
Therefore, the GCF of Fractions 9/74,822/79,988/20 is 1/58460
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 74,79,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,79,20) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,79,20) x common factors =1 x 2 = 2
LCM(74,79,20) = ( 74 × 79 × 20 ) / 2
LCM(74,79,20) = 116920 / 2
LCM(74,79,20) = 58460
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 9/74, 822/79, 988/20?
Answer: GCF of Numerators as per given numbers 9/74, 822/79, 988/20 is
GCF of Numerators i.e. for 9,822,988 is 1
LCM of denominators i.e. for 74,79,20 is 58460.
Thus, GCF of Fractions is 1/58460.Finally, GCF of Fractions for 9/74, 822/79, 988/20 is 1/58460.