Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/734,4152/6010
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 364,4152
Greatest Common Factor of Numerators i.e. GCF of 364,4152 is 4 .
LCM of Denominators means LCM of 734,6010 as per the given fractions.
LCM of 734,6010 is 2205670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 364,4152
2 | 364, 4152 |
2 | 182, 2076 |
91, 1038 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 4152
List of positive integer factors of 4152 that divides 4152 without a remainder.
1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Greatest Common Factor
We found the factors 364,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 364,4152 is 4.
Lets's calculate LCM of 734,6010
2 | 734, 6010 |
367, 3005 |
∴ So the LCM of the given numbers is 2 x 367 x 3005 = 2205670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2205670
Therefore, the GCF of Fractions 364/734,4152/6010 is 4/2205670
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 734,6010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,6010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,6010) x common factors =2 x 1 = 2
LCM(734,6010) = ( 734 × 6010 ) / 2
LCM(734,6010) = 4411340 / 2
LCM(734,6010) = 2205670
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 364/734, 4152/6010?
Answer: GCF of Numerators as per given numbers 364/734, 4152/6010 is
GCF of Numerators i.e. for 364,4152 is 4
LCM of denominators i.e. for 734,6010 is 2205670.
Thus, GCF of Fractions is 4/2205670.Finally, GCF of Fractions for 364/734, 4152/6010 is 4/2205670.