Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/20,71/35,60/392,118/626
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 6,71,60,118
Greatest Common Factor of Numerators i.e. GCF of 6,71,60,118 is 1 .
LCM of Denominators means LCM of 20,35,392,626 as per the given fractions.
LCM of 20,35,392,626 is 613480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,71,60,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 6,71,60,118 . The biggest common factor number is the GCF number.
So the greatest common factor 6,71,60,118 is 1.
Lets's calculate LCM of 20,35,392,626
2 | 20, 35, 392, 626 |
2 | 10, 35, 196, 313 |
5 | 5, 35, 98, 313 |
7 | 1, 7, 98, 313 |
1, 1, 14, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 1 x 14 x 313 = 613480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/613480
Therefore, the GCF of Fractions 6/20,71/35,60/392,118/626 is 1/613480
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 20,35,392,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,35,392,626) = 1
common factors(in case of two or more numbers have common factors) = 280
GCF(20,35,392,626) x common factors =1 x 280 = 280
LCM(20,35,392,626) = ( 20 × 35 × 392 × 626 ) / 280
LCM(20,35,392,626) = 171774400 / 280
LCM(20,35,392,626) = 613480
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 6/20, 71/35, 60/392, 118/626?
Answer: GCF of Numerators as per given numbers 6/20, 71/35, 60/392, 118/626 is
GCF of Numerators i.e. for 6,71,60,118 is 1
LCM of denominators i.e. for 20,35,392,626 is 613480.
Thus, GCF of Fractions is 1/613480.Finally, GCF of Fractions for 6/20, 71/35, 60/392, 118/626 is 1/613480.