Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3560/172,1348/8063
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 3560,1348
Greatest Common Factor of Numerators i.e. GCF of 3560,1348 is 4 .
LCM of Denominators means LCM of 172,8063 as per the given fractions.
LCM of 172,8063 is 1386836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3560,1348
2 | 3560, 1348 |
2 | 1780, 674 |
890, 337 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3560
List of positive integer factors of 3560 that divides 3560 without a remainder.
1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560
Factors of 1348
List of positive integer factors of 1348 that divides 1348 without a remainder.
1,2,4,337,674,1348
Greatest Common Factor
We found the factors 3560,1348 . The biggest common factor number is the GCF number.
So the greatest common factor 3560,1348 is 4.
Lets's calculate LCM of 172,8063
Given numbers has no common factors except 1. So, there LCM is their product i.e 1386836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1386836
Therefore, the GCF of Fractions 3560/172,1348/8063 is 4/1386836
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 172,8063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,8063) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,8063) x common factors =1 x 1 = 1
LCM(172,8063) = ( 172 × 8063 ) / 1
LCM(172,8063) = 1386836 / 1
LCM(172,8063) = 1386836
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 3560/172, 1348/8063?
Answer: GCF of Numerators as per given numbers 3560/172, 1348/8063 is
GCF of Numerators i.e. for 3560,1348 is 4
LCM of denominators i.e. for 172,8063 is 1386836.
Thus, GCF of Fractions is 4/1386836.Finally, GCF of Fractions for 3560/172, 1348/8063 is 4/1386836.