Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4393/63,7656/892
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 4393,7656
Greatest Common Factor of Numerators i.e. GCF of 4393,7656 is 1 .
LCM of Denominators means LCM of 63,892 as per the given fractions.
LCM of 63,892 is 56196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4393,7656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1,23,191,4393
Factors of 7656
List of positive integer factors of 7656 that divides 7656 without a remainder.
1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Greatest Common Factor
We found the factors 4393,7656 . The biggest common factor number is the GCF number.
So the greatest common factor 4393,7656 is 1.
Lets's calculate LCM of 63,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 56196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56196
Therefore, the GCF of Fractions 4393/63,7656/892 is 1/56196
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 63,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,892) x common factors =1 x 1 = 1
LCM(63,892) = ( 63 × 892 ) / 1
LCM(63,892) = 56196 / 1
LCM(63,892) = 56196
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 4393/63, 7656/892?
Answer: GCF of Numerators as per given numbers 4393/63, 7656/892 is
GCF of Numerators i.e. for 4393,7656 is 1
LCM of denominators i.e. for 63,892 is 56196.
Thus, GCF of Fractions is 1/56196.Finally, GCF of Fractions for 4393/63, 7656/892 is 1/56196.