Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5308/833,6520/180
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 5308,6520
Greatest Common Factor of Numerators i.e. GCF of 5308,6520 is 4 .
LCM of Denominators means LCM of 833,180 as per the given fractions.
LCM of 833,180 is 149940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5308,6520
2 | 5308, 6520 |
2 | 2654, 3260 |
1327, 1630 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5308
List of positive integer factors of 5308 that divides 5308 without a remainder.
1,2,4,1327,2654,5308
Factors of 6520
List of positive integer factors of 6520 that divides 6520 without a remainder.
1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Greatest Common Factor
We found the factors 5308,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 5308,6520 is 4.
Lets's calculate LCM of 833,180
Given numbers has no common factors except 1. So, there LCM is their product i.e 149940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/149940
Therefore, the GCF of Fractions 5308/833,6520/180 is 4/149940
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 833,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,180) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,180) x common factors =1 x 1 = 1
LCM(833,180) = ( 833 × 180 ) / 1
LCM(833,180) = 149940 / 1
LCM(833,180) = 149940
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 5308/833, 6520/180?
Answer: GCF of Numerators as per given numbers 5308/833, 6520/180 is
GCF of Numerators i.e. for 5308,6520 is 4
LCM of denominators i.e. for 833,180 is 149940.
Thus, GCF of Fractions is 4/149940.Finally, GCF of Fractions for 5308/833, 6520/180 is 4/149940.