Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5045/877,7856/7379
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 5045,7856
Greatest Common Factor of Numerators i.e. GCF of 5045,7856 is 1 .
LCM of Denominators means LCM of 877,7379 as per the given fractions.
LCM of 877,7379 is 6471383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5045,7856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5045
List of positive integer factors of 5045 that divides 5045 without a remainder.
1,5,1009,5045
Factors of 7856
List of positive integer factors of 7856 that divides 7856 without a remainder.
1,2,4,8,16,491,982,1964,3928,7856
Greatest Common Factor
We found the factors 5045,7856 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,7856 is 1.
Lets's calculate LCM of 877,7379
Given numbers has no common factors except 1. So, there LCM is their product i.e 6471383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6471383
Therefore, the GCF of Fractions 5045/877,7856/7379 is 1/6471383
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 877,7379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(877,7379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(877,7379) x common factors =1 x 1 = 1
LCM(877,7379) = ( 877 × 7379 ) / 1
LCM(877,7379) = 6471383 / 1
LCM(877,7379) = 6471383
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 5045/877, 7856/7379?
Answer: GCF of Numerators as per given numbers 5045/877, 7856/7379 is
GCF of Numerators i.e. for 5045,7856 is 1
LCM of denominators i.e. for 877,7379 is 6471383.
Thus, GCF of Fractions is 1/6471383.Finally, GCF of Fractions for 5045/877, 7856/7379 is 1/6471383.