Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/19,41/88,84/746,278/438
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 4,41,84,278
Greatest Common Factor of Numerators i.e. GCF of 4,41,84,278 is 1 .
LCM of Denominators means LCM of 19,88,746,438 as per the given fractions.
LCM of 19,88,746,438 is 136580664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,41,84,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 4,41,84,278 . The biggest common factor number is the GCF number.
So the greatest common factor 4,41,84,278 is 1.
Lets's calculate LCM of 19,88,746,438
2 | 19, 88, 746, 438 |
19, 44, 373, 219 |
∴ So the LCM of the given numbers is 2 x 19 x 44 x 373 x 219 = 136580664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136580664
Therefore, the GCF of Fractions 4/19,41/88,84/746,278/438 is 1/136580664
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 19,88,746,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,88,746,438) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(19,88,746,438) x common factors =1 x 4 = 4
LCM(19,88,746,438) = ( 19 × 88 × 746 × 438 ) / 4
LCM(19,88,746,438) = 546322656 / 4
LCM(19,88,746,438) = 136580664
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 4/19, 41/88, 84/746, 278/438?
Answer: GCF of Numerators as per given numbers 4/19, 41/88, 84/746, 278/438 is
GCF of Numerators i.e. for 4,41,84,278 is 1
LCM of denominators i.e. for 19,88,746,438 is 136580664.
Thus, GCF of Fractions is 1/136580664.Finally, GCF of Fractions for 4/19, 41/88, 84/746, 278/438 is 1/136580664.