Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4636/919,3447/2688
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 4636,3447
Greatest Common Factor of Numerators i.e. GCF of 4636,3447 is 1 .
LCM of Denominators means LCM of 919,2688 as per the given fractions.
LCM of 919,2688 is 2470272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4636,3447
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4636
List of positive integer factors of 4636 that divides 4636 without a remainder.
1,2,4,19,38,61,76,122,244,1159,2318,4636
Factors of 3447
List of positive integer factors of 3447 that divides 3447 without a remainder.
1,3,9,383,1149,3447
Greatest Common Factor
We found the factors 4636,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 4636,3447 is 1.
Lets's calculate LCM of 919,2688
Given numbers has no common factors except 1. So, there LCM is their product i.e 2470272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2470272
Therefore, the GCF of Fractions 4636/919,3447/2688 is 1/2470272
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 919,2688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,2688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,2688) x common factors =1 x 1 = 1
LCM(919,2688) = ( 919 × 2688 ) / 1
LCM(919,2688) = 2470272 / 1
LCM(919,2688) = 2470272
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 4636/919, 3447/2688?
Answer: GCF of Numerators as per given numbers 4636/919, 3447/2688 is
GCF of Numerators i.e. for 4636,3447 is 1
LCM of denominators i.e. for 919,2688 is 2470272.
Thus, GCF of Fractions is 1/2470272.Finally, GCF of Fractions for 4636/919, 3447/2688 is 1/2470272.