Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/889,4628/843
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 936,4628
Greatest Common Factor of Numerators i.e. GCF of 936,4628 is 52 .
LCM of Denominators means LCM of 889,843 as per the given fractions.
LCM of 889,843 is 749427 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 936,4628
2 | 936, 4628 |
2 | 468, 2314 |
13 | 234, 1157 |
18, 89 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 4628
List of positive integer factors of 4628 that divides 4628 without a remainder.
1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 936,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 936,4628 is 52.
Lets's calculate LCM of 889,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 749427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/749427
Therefore, the GCF of Fractions 936/889,4628/843 is 52/749427
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 889,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,843) x common factors =1 x 1 = 1
LCM(889,843) = ( 889 × 843 ) / 1
LCM(889,843) = 749427 / 1
LCM(889,843) = 749427
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 936/889, 4628/843?
Answer: GCF of Numerators as per given numbers 936/889, 4628/843 is
GCF of Numerators i.e. for 936,4628 is 52
LCM of denominators i.e. for 889,843 is 749427.
Thus, GCF of Fractions is 52/749427.Finally, GCF of Fractions for 936/889, 4628/843 is 52/749427.