Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4572/154,5296/1271
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 4572,5296
Greatest Common Factor of Numerators i.e. GCF of 4572,5296 is 4 .
LCM of Denominators means LCM of 154,1271 as per the given fractions.
LCM of 154,1271 is 195734 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4572,5296
2 | 4572, 5296 |
2 | 2286, 2648 |
1143, 1324 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4572
List of positive integer factors of 4572 that divides 4572 without a remainder.
1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572
Factors of 5296
List of positive integer factors of 5296 that divides 5296 without a remainder.
1,2,4,8,16,331,662,1324,2648,5296
Greatest Common Factor
We found the factors 4572,5296 . The biggest common factor number is the GCF number.
So the greatest common factor 4572,5296 is 4.
Lets's calculate LCM of 154,1271
Given numbers has no common factors except 1. So, there LCM is their product i.e 195734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/195734
Therefore, the GCF of Fractions 4572/154,5296/1271 is 4/195734
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 154,1271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,1271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(154,1271) x common factors =1 x 1 = 1
LCM(154,1271) = ( 154 × 1271 ) / 1
LCM(154,1271) = 195734 / 1
LCM(154,1271) = 195734
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 4572/154, 5296/1271?
Answer: GCF of Numerators as per given numbers 4572/154, 5296/1271 is
GCF of Numerators i.e. for 4572,5296 is 4
LCM of denominators i.e. for 154,1271 is 195734.
Thus, GCF of Fractions is 4/195734.Finally, GCF of Fractions for 4572/154, 5296/1271 is 4/195734.