Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/235,7705/7632
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 67,7705
Greatest Common Factor of Numerators i.e. GCF of 67,7705 is 67 .
LCM of Denominators means LCM of 235,7632 as per the given fractions.
LCM of 235,7632 is 1793520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,7705
67 | 67, 7705 |
1, 115 |
∴ So the GCF of the given numbers is 67 = 67
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1,5,23,67,115,335,1541,7705
Greatest Common Factor
We found the factors 67,7705 . The biggest common factor number is the GCF number.
So the greatest common factor 67,7705 is 67.
Lets's calculate LCM of 235,7632
Given numbers has no common factors except 1. So, there LCM is their product i.e 1793520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/1793520
Therefore, the GCF of Fractions 67/235,7705/7632 is 67/1793520
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 235,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,7632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,7632) x common factors =1 x 1 = 1
LCM(235,7632) = ( 235 × 7632 ) / 1
LCM(235,7632) = 1793520 / 1
LCM(235,7632) = 1793520
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 67/235, 7705/7632?
Answer: GCF of Numerators as per given numbers 67/235, 7705/7632 is
GCF of Numerators i.e. for 67,7705 is 67
LCM of denominators i.e. for 235,7632 is 1793520.
Thus, GCF of Fractions is 67/1793520.Finally, GCF of Fractions for 67/235, 7705/7632 is 67/1793520.