Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1062/978,7161/5941
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 1062,7161
Greatest Common Factor of Numerators i.e. GCF of 1062,7161 is 3 .
LCM of Denominators means LCM of 978,5941 as per the given fractions.
LCM of 978,5941 is 5810298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1062,7161
3 | 1062, 7161 |
354, 2387 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1062
List of positive integer factors of 1062 that divides 1062 without a remainder.
1,2,3,6,9,18,59,118,177,354,531,1062
Factors of 7161
List of positive integer factors of 7161 that divides 7161 without a remainder.
1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 1062,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 1062,7161 is 3.
Lets's calculate LCM of 978,5941
Given numbers has no common factors except 1. So, there LCM is their product i.e 5810298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5810298
Therefore, the GCF of Fractions 1062/978,7161/5941 is 3/5810298
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 978,5941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,5941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,5941) x common factors =1 x 1 = 1
LCM(978,5941) = ( 978 × 5941 ) / 1
LCM(978,5941) = 5810298 / 1
LCM(978,5941) = 5810298
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 1062/978, 7161/5941?
Answer: GCF of Numerators as per given numbers 1062/978, 7161/5941 is
GCF of Numerators i.e. for 1062,7161 is 3
LCM of denominators i.e. for 978,5941 is 5810298.
Thus, GCF of Fractions is 3/5810298.Finally, GCF of Fractions for 1062/978, 7161/5941 is 3/5810298.