Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3069/96,7781/959
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 3069,7781
Greatest Common Factor of Numerators i.e. GCF of 3069,7781 is 31 .
LCM of Denominators means LCM of 96,959 as per the given fractions.
LCM of 96,959 is 92064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3069,7781
31 | 3069, 7781 |
99, 251 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1,3,9,11,31,33,93,99,279,341,1023,3069
Factors of 7781
List of positive integer factors of 7781 that divides 7781 without a remainder.
1,31,251,7781
Greatest Common Factor
We found the factors 3069,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 3069,7781 is 31.
Lets's calculate LCM of 96,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 92064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/92064
Therefore, the GCF of Fractions 3069/96,7781/959 is 31/92064
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 96,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,959) x common factors =1 x 1 = 1
LCM(96,959) = ( 96 × 959 ) / 1
LCM(96,959) = 92064 / 1
LCM(96,959) = 92064
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 3069/96, 7781/959?
Answer: GCF of Numerators as per given numbers 3069/96, 7781/959 is
GCF of Numerators i.e. for 3069,7781 is 31
LCM of denominators i.e. for 96,959 is 92064.
Thus, GCF of Fractions is 31/92064.Finally, GCF of Fractions for 3069/96, 7781/959 is 31/92064.