Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/677,760/455
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 63,760
Greatest Common Factor of Numerators i.e. GCF of 63,760 is 1 .
LCM of Denominators means LCM of 677,455 as per the given fractions.
LCM of 677,455 is 308035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,760
∴ 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 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 63,760 . The biggest common factor number is the GCF number.
So the greatest common factor 63,760 is 1.
Lets's calculate LCM of 677,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 308035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308035
Therefore, the GCF of Fractions 63/677,760/455 is 1/308035
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 677,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,455) x common factors =1 x 1 = 1
LCM(677,455) = ( 677 × 455 ) / 1
LCM(677,455) = 308035 / 1
LCM(677,455) = 308035
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 63/677, 760/455?
Answer: GCF of Numerators as per given numbers 63/677, 760/455 is
GCF of Numerators i.e. for 63,760 is 1
LCM of denominators i.e. for 677,455 is 308035.
Thus, GCF of Fractions is 1/308035.Finally, GCF of Fractions for 63/677, 760/455 is 1/308035.