Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7942/65,7714/881
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 7942,7714
Greatest Common Factor of Numerators i.e. GCF of 7942,7714 is 38 .
LCM of Denominators means LCM of 65,881 as per the given fractions.
LCM of 65,881 is 57265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7942,7714
2 | 7942, 7714 |
19 | 3971, 3857 |
209, 203 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 7942
List of positive integer factors of 7942 that divides 7942 without a remainder.
1,2,11,19,22,38,209,361,418,722,3971,7942
Factors of 7714
List of positive integer factors of 7714 that divides 7714 without a remainder.
1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714
Greatest Common Factor
We found the factors 7942,7714 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,7714 is 38.
Lets's calculate LCM of 65,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 57265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/57265
Therefore, the GCF of Fractions 7942/65,7714/881 is 38/57265
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 65,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,881) x common factors =1 x 1 = 1
LCM(65,881) = ( 65 × 881 ) / 1
LCM(65,881) = 57265 / 1
LCM(65,881) = 57265
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 7942/65, 7714/881?
Answer: GCF of Numerators as per given numbers 7942/65, 7714/881 is
GCF of Numerators i.e. for 7942,7714 is 38
LCM of denominators i.e. for 65,881 is 57265.
Thus, GCF of Fractions is 38/57265.Finally, GCF of Fractions for 7942/65, 7714/881 is 38/57265.