Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 746/254,3264/705
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 746,3264
Greatest Common Factor of Numerators i.e. GCF of 746,3264 is 2 .
LCM of Denominators means LCM of 254,705 as per the given fractions.
LCM of 254,705 is 179070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 746,3264
2 | 746, 3264 |
373, 1632 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 3264
List of positive integer factors of 3264 that divides 3264 without a remainder.
1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264
Greatest Common Factor
We found the factors 746,3264 . The biggest common factor number is the GCF number.
So the greatest common factor 746,3264 is 2.
Lets's calculate LCM of 254,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 179070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179070
Therefore, the GCF of Fractions 746/254,3264/705 is 2/179070
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 254,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,705) x common factors =1 x 1 = 1
LCM(254,705) = ( 254 × 705 ) / 1
LCM(254,705) = 179070 / 1
LCM(254,705) = 179070
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 746/254, 3264/705?
Answer: GCF of Numerators as per given numbers 746/254, 3264/705 is
GCF of Numerators i.e. for 746,3264 is 2
LCM of denominators i.e. for 254,705 is 179070.
Thus, GCF of Fractions is 2/179070.Finally, GCF of Fractions for 746/254, 3264/705 is 2/179070.