Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/97,664/8054
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 844,664
Greatest Common Factor of Numerators i.e. GCF of 844,664 is 4 .
LCM of Denominators means LCM of 97,8054 as per the given fractions.
LCM of 97,8054 is 781238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 844,664
2 | 844, 664 |
2 | 422, 332 |
211, 166 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 844,664 . The biggest common factor number is the GCF number.
So the greatest common factor 844,664 is 4.
Lets's calculate LCM of 97,8054
Given numbers has no common factors except 1. So, there LCM is their product i.e 781238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/781238
Therefore, the GCF of Fractions 844/97,664/8054 is 4/781238
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 97,8054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,8054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,8054) x common factors =1 x 1 = 1
LCM(97,8054) = ( 97 × 8054 ) / 1
LCM(97,8054) = 781238 / 1
LCM(97,8054) = 781238
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 844/97, 664/8054?
Answer: GCF of Numerators as per given numbers 844/97, 664/8054 is
GCF of Numerators i.e. for 844,664 is 4
LCM of denominators i.e. for 97,8054 is 781238.
Thus, GCF of Fractions is 4/781238.Finally, GCF of Fractions for 844/97, 664/8054 is 4/781238.