Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/535,5320/638
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 599,5320
Greatest Common Factor of Numerators i.e. GCF of 599,5320 is 1 .
LCM of Denominators means LCM of 535,638 as per the given fractions.
LCM of 535,638 is 341330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 599,5320
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
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 599,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 599,5320 is 1.
Lets's calculate LCM of 535,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 341330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/341330
Therefore, the GCF of Fractions 599/535,5320/638 is 1/341330
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 535,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,638) x common factors =1 x 1 = 1
LCM(535,638) = ( 535 × 638 ) / 1
LCM(535,638) = 341330 / 1
LCM(535,638) = 341330
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 599/535, 5320/638?
Answer: GCF of Numerators as per given numbers 599/535, 5320/638 is
GCF of Numerators i.e. for 599,5320 is 1
LCM of denominators i.e. for 535,638 is 341330.
Thus, GCF of Fractions is 1/341330.Finally, GCF of Fractions for 599/535, 5320/638 is 1/341330.