Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/364,99/207,293/213
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 63,99,293
Greatest Common Factor of Numerators i.e. GCF of 63,99,293 is 1 .
LCM of Denominators means LCM of 364,207,213 as per the given fractions.
LCM of 364,207,213 is 5349708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,99,293
∴ 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 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 63,99,293 . The biggest common factor number is the GCF number.
So the greatest common factor 63,99,293 is 1.
Lets's calculate LCM of 364,207,213
3 | 364, 207, 213 |
364, 69, 71 |
∴ So the LCM of the given numbers is 3 x 364 x 69 x 71 = 5349708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5349708
Therefore, the GCF of Fractions 63/364,99/207,293/213 is 1/5349708
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 364,207,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,207,213) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(364,207,213) x common factors =1 x 3 = 3
LCM(364,207,213) = ( 364 × 207 × 213 ) / 3
LCM(364,207,213) = 16049124 / 3
LCM(364,207,213) = 5349708
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 63/364, 99/207, 293/213?
Answer: GCF of Numerators as per given numbers 63/364, 99/207, 293/213 is
GCF of Numerators i.e. for 63,99,293 is 1
LCM of denominators i.e. for 364,207,213 is 5349708.
Thus, GCF of Fractions is 1/5349708.Finally, GCF of Fractions for 63/364, 99/207, 293/213 is 1/5349708.