Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6164/780,4732/4313
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 6164,4732
Greatest Common Factor of Numerators i.e. GCF of 6164,4732 is 4 .
LCM of Denominators means LCM of 780,4313 as per the given fractions.
LCM of 780,4313 is 3364140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6164,4732
2 | 6164, 4732 |
2 | 3082, 2366 |
1541, 1183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6164
List of positive integer factors of 6164 that divides 6164 without a remainder.
1,2,4,23,46,67,92,134,268,1541,3082,6164
Factors of 4732
List of positive integer factors of 4732 that divides 4732 without a remainder.
1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Greatest Common Factor
We found the factors 6164,4732 . The biggest common factor number is the GCF number.
So the greatest common factor 6164,4732 is 4.
Lets's calculate LCM of 780,4313
Given numbers has no common factors except 1. So, there LCM is their product i.e 3364140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3364140
Therefore, the GCF of Fractions 6164/780,4732/4313 is 4/3364140
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 780,4313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,4313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,4313) x common factors =1 x 1 = 1
LCM(780,4313) = ( 780 × 4313 ) / 1
LCM(780,4313) = 3364140 / 1
LCM(780,4313) = 3364140
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 6164/780, 4732/4313?
Answer: GCF of Numerators as per given numbers 6164/780, 4732/4313 is
GCF of Numerators i.e. for 6164,4732 is 4
LCM of denominators i.e. for 780,4313 is 3364140.
Thus, GCF of Fractions is 4/3364140.Finally, GCF of Fractions for 6164/780, 4732/4313 is 4/3364140.