Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/67,14/453,78/200
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 4,14,78
Greatest Common Factor of Numerators i.e. GCF of 4,14,78 is 2 .
LCM of Denominators means LCM of 67,453,200 as per the given fractions.
LCM of 67,453,200 is 6070200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,14,78
2 | 4, 14, 78 |
2, 7, 39 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 4,14,78 . The biggest common factor number is the GCF number.
So the greatest common factor 4,14,78 is 2.
Lets's calculate LCM of 67,453,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 6070200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6070200
Therefore, the GCF of Fractions 4/67,14/453,78/200 is 2/6070200
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 67,453,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,453,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,453,200) x common factors =1 x 1 = 1
LCM(67,453,200) = ( 67 × 453 × 200 ) / 1
LCM(67,453,200) = 6070200 / 1
LCM(67,453,200) = 6070200
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 4/67, 14/453, 78/200?
Answer: GCF of Numerators as per given numbers 4/67, 14/453, 78/200 is
GCF of Numerators i.e. for 4,14,78 is 2
LCM of denominators i.e. for 67,453,200 is 6070200.
Thus, GCF of Fractions is 2/6070200.Finally, GCF of Fractions for 4/67, 14/453, 78/200 is 2/6070200.