Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9685/621,9264/628
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 9685,9264
Greatest Common Factor of Numerators i.e. GCF of 9685,9264 is 1 .
LCM of Denominators means LCM of 621,628 as per the given fractions.
LCM of 621,628 is 389988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9685,9264
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Factors of 9264
List of positive integer factors of 9264 that divides 9264 without a remainder.
1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Greatest Common Factor
We found the factors 9685,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 9685,9264 is 1.
Lets's calculate LCM of 621,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 389988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389988
Therefore, the GCF of Fractions 9685/621,9264/628 is 1/389988
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 621,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,628) x common factors =1 x 1 = 1
LCM(621,628) = ( 621 × 628 ) / 1
LCM(621,628) = 389988 / 1
LCM(621,628) = 389988
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 9685/621, 9264/628?
Answer: GCF of Numerators as per given numbers 9685/621, 9264/628 is
GCF of Numerators i.e. for 9685,9264 is 1
LCM of denominators i.e. for 621,628 is 389988.
Thus, GCF of Fractions is 1/389988.Finally, GCF of Fractions for 9685/621, 9264/628 is 1/389988.