Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7691/962,9664/820
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 7691,9664
Greatest Common Factor of Numerators i.e. GCF of 7691,9664 is 1 .
LCM of Denominators means LCM of 962,820 as per the given fractions.
LCM of 962,820 is 394420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7691,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7691
List of positive integer factors of 7691 that divides 7691 without a remainder.
1,7691
Factors of 9664
List of positive integer factors of 9664 that divides 9664 without a remainder.
1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 7691,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 7691,9664 is 1.
Lets's calculate LCM of 962,820
2 | 962, 820 |
481, 410 |
∴ So the LCM of the given numbers is 2 x 481 x 410 = 394420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394420
Therefore, the GCF of Fractions 7691/962,9664/820 is 1/394420
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 962,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,820) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,820) x common factors =2 x 1 = 2
LCM(962,820) = ( 962 × 820 ) / 2
LCM(962,820) = 788840 / 2
LCM(962,820) = 394420
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 7691/962, 9664/820?
Answer: GCF of Numerators as per given numbers 7691/962, 9664/820 is
GCF of Numerators i.e. for 7691,9664 is 1
LCM of denominators i.e. for 962,820 is 394420.
Thus, GCF of Fractions is 1/394420.Finally, GCF of Fractions for 7691/962, 9664/820 is 1/394420.