Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1855/874,3498/5680
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 1855,3498
Greatest Common Factor of Numerators i.e. GCF of 1855,3498 is 53 .
LCM of Denominators means LCM of 874,5680 as per the given fractions.
LCM of 874,5680 is 2482160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1855,3498
53 | 1855, 3498 |
35, 66 |
∴ So the GCF of the given numbers is 53 = 53
Factors of 1855
List of positive integer factors of 1855 that divides 1855 without a remainder.
1,5,7,35,53,265,371,1855
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 1855,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 1855,3498 is 53.
Lets's calculate LCM of 874,5680
2 | 874, 5680 |
437, 2840 |
∴ So the LCM of the given numbers is 2 x 437 x 2840 = 2482160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/2482160
Therefore, the GCF of Fractions 1855/874,3498/5680 is 53/2482160
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 874,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,5680) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,5680) x common factors =2 x 1 = 2
LCM(874,5680) = ( 874 × 5680 ) / 2
LCM(874,5680) = 4964320 / 2
LCM(874,5680) = 2482160
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 1855/874, 3498/5680?
Answer: GCF of Numerators as per given numbers 1855/874, 3498/5680 is
GCF of Numerators i.e. for 1855,3498 is 53
LCM of denominators i.e. for 874,5680 is 2482160.
Thus, GCF of Fractions is 53/2482160.Finally, GCF of Fractions for 1855/874, 3498/5680 is 53/2482160.