Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/245,4352/345
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 764,4352
Greatest Common Factor of Numerators i.e. GCF of 764,4352 is 4 .
LCM of Denominators means LCM of 245,345 as per the given fractions.
LCM of 245,345 is 16905 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,4352
2 | 764, 4352 |
2 | 382, 2176 |
191, 1088 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 4352
List of positive integer factors of 4352 that divides 4352 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Greatest Common Factor
We found the factors 764,4352 . The biggest common factor number is the GCF number.
So the greatest common factor 764,4352 is 4.
Lets's calculate LCM of 245,345
5 | 245, 345 |
49, 69 |
∴ So the LCM of the given numbers is 5 x 49 x 69 = 16905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/16905
Therefore, the GCF of Fractions 764/245,4352/345 is 4/16905
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 245,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,345) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(245,345) x common factors =5 x 1 = 5
LCM(245,345) = ( 245 × 345 ) / 5
LCM(245,345) = 84525 / 5
LCM(245,345) = 16905
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 764/245, 4352/345?
Answer: GCF of Numerators as per given numbers 764/245, 4352/345 is
GCF of Numerators i.e. for 764,4352 is 4
LCM of denominators i.e. for 245,345 is 16905.
Thus, GCF of Fractions is 4/16905.Finally, GCF of Fractions for 764/245, 4352/345 is 4/16905.