Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/26,95/28,267/704
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 63,95,267
Greatest Common Factor of Numerators i.e. GCF of 63,95,267 is 1 .
LCM of Denominators means LCM of 26,28,704 as per the given fractions.
LCM of 26,28,704 is 64064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,95,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 63,95,267 . The biggest common factor number is the GCF number.
So the greatest common factor 63,95,267 is 1.
Lets's calculate LCM of 26,28,704
2 | 26, 28, 704 |
2 | 13, 14, 352 |
13, 7, 176 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 176 = 64064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64064
Therefore, the GCF of Fractions 63/26,95/28,267/704 is 1/64064
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 26,28,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,28,704) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(26,28,704) x common factors =2 x 4 = 8
LCM(26,28,704) = ( 26 × 28 × 704 ) / 8
LCM(26,28,704) = 512512 / 8
LCM(26,28,704) = 64064
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 63/26, 95/28, 267/704?
Answer: GCF of Numerators as per given numbers 63/26, 95/28, 267/704 is
GCF of Numerators i.e. for 63,95,267 is 1
LCM of denominators i.e. for 26,28,704 is 64064.
Thus, GCF of Fractions is 1/64064.Finally, GCF of Fractions for 63/26, 95/28, 267/704 is 1/64064.