Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8380/825,5320/536
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 8380,5320
Greatest Common Factor of Numerators i.e. GCF of 8380,5320 is 20 .
LCM of Denominators means LCM of 825,536 as per the given fractions.
LCM of 825,536 is 442200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8380,5320
2 | 8380, 5320 |
2 | 4190, 2660 |
5 | 2095, 1330 |
419, 266 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Factors of 5320
List of positive integer factors of 5320 that divides 5320 without a remainder.
1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320
Greatest Common Factor
We found the factors 8380,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 8380,5320 is 20.
Lets's calculate LCM of 825,536
Given numbers has no common factors except 1. So, there LCM is their product i.e 442200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/442200
Therefore, the GCF of Fractions 8380/825,5320/536 is 20/442200
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 825,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,536) x common factors =1 x 1 = 1
LCM(825,536) = ( 825 × 536 ) / 1
LCM(825,536) = 442200 / 1
LCM(825,536) = 442200
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 8380/825, 5320/536?
Answer: GCF of Numerators as per given numbers 8380/825, 5320/536 is
GCF of Numerators i.e. for 8380,5320 is 20
LCM of denominators i.e. for 825,536 is 442200.
Thus, GCF of Fractions is 20/442200.Finally, GCF of Fractions for 8380/825, 5320/536 is 20/442200.