Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/307,415/373,632/944
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 770,415,632
Greatest Common Factor of Numerators i.e. GCF of 770,415,632 is 1 .
LCM of Denominators means LCM of 307,373,944 as per the given fractions.
LCM of 307,373,944 is 108098384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,415,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 770,415,632 . The biggest common factor number is the GCF number.
So the greatest common factor 770,415,632 is 1.
Lets's calculate LCM of 307,373,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 108098384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108098384
Therefore, the GCF of Fractions 770/307,415/373,632/944 is 1/108098384
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 307,373,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,373,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,373,944) x common factors =1 x 1 = 1
LCM(307,373,944) = ( 307 × 373 × 944 ) / 1
LCM(307,373,944) = 108098384 / 1
LCM(307,373,944) = 108098384
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 770/307, 415/373, 632/944?
Answer: GCF of Numerators as per given numbers 770/307, 415/373, 632/944 is
GCF of Numerators i.e. for 770,415,632 is 1
LCM of denominators i.e. for 307,373,944 is 108098384.
Thus, GCF of Fractions is 1/108098384.Finally, GCF of Fractions for 770/307, 415/373, 632/944 is 1/108098384.