Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/694,117/644
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 48,117
Greatest Common Factor of Numerators i.e. GCF of 48,117 is 3 .
LCM of Denominators means LCM of 694,644 as per the given fractions.
LCM of 694,644 is 223468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,117
3 | 48, 117 |
16, 39 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 48,117 . The biggest common factor number is the GCF number.
So the greatest common factor 48,117 is 3.
Lets's calculate LCM of 694,644
2 | 694, 644 |
347, 322 |
∴ So the LCM of the given numbers is 2 x 347 x 322 = 223468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/223468
Therefore, the GCF of Fractions 48/694,117/644 is 3/223468
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 694,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,644) x common factors =2 x 1 = 2
LCM(694,644) = ( 694 × 644 ) / 2
LCM(694,644) = 446936 / 2
LCM(694,644) = 223468
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 48/694, 117/644?
Answer: GCF of Numerators as per given numbers 48/694, 117/644 is
GCF of Numerators i.e. for 48,117 is 3
LCM of denominators i.e. for 694,644 is 223468.
Thus, GCF of Fractions is 3/223468.Finally, GCF of Fractions for 48/694, 117/644 is 3/223468.