Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4272/641,4789/5514
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 4272,4789
Greatest Common Factor of Numerators i.e. GCF of 4272,4789 is 1 .
LCM of Denominators means LCM of 641,5514 as per the given fractions.
LCM of 641,5514 is 3534474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4272,4789
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4272
List of positive integer factors of 4272 that divides 4272 without a remainder.
1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272
Factors of 4789
List of positive integer factors of 4789 that divides 4789 without a remainder.
1,4789
Greatest Common Factor
We found the factors 4272,4789 . The biggest common factor number is the GCF number.
So the greatest common factor 4272,4789 is 1.
Lets's calculate LCM of 641,5514
Given numbers has no common factors except 1. So, there LCM is their product i.e 3534474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3534474
Therefore, the GCF of Fractions 4272/641,4789/5514 is 1/3534474
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 641,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,5514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,5514) x common factors =1 x 1 = 1
LCM(641,5514) = ( 641 × 5514 ) / 1
LCM(641,5514) = 3534474 / 1
LCM(641,5514) = 3534474
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 4272/641, 4789/5514?
Answer: GCF of Numerators as per given numbers 4272/641, 4789/5514 is
GCF of Numerators i.e. for 4272,4789 is 1
LCM of denominators i.e. for 641,5514 is 3534474.
Thus, GCF of Fractions is 1/3534474.Finally, GCF of Fractions for 4272/641, 4789/5514 is 1/3534474.