Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/306,537/269,209/536
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 970,537,209
Greatest Common Factor of Numerators i.e. GCF of 970,537,209 is 1 .
LCM of Denominators means LCM of 306,269,536 as per the given fractions.
LCM of 306,269,536 is 22060152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,537,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 970,537,209 . The biggest common factor number is the GCF number.
So the greatest common factor 970,537,209 is 1.
Lets's calculate LCM of 306,269,536
2 | 306, 269, 536 |
153, 269, 268 |
∴ So the LCM of the given numbers is 2 x 153 x 269 x 268 = 22060152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22060152
Therefore, the GCF of Fractions 970/306,537/269,209/536 is 1/22060152
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 306,269,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,269,536) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(306,269,536) x common factors =1 x 2 = 2
LCM(306,269,536) = ( 306 × 269 × 536 ) / 2
LCM(306,269,536) = 44120304 / 2
LCM(306,269,536) = 22060152
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 970/306, 537/269, 209/536?
Answer: GCF of Numerators as per given numbers 970/306, 537/269, 209/536 is
GCF of Numerators i.e. for 970,537,209 is 1
LCM of denominators i.e. for 306,269,536 is 22060152.
Thus, GCF of Fractions is 1/22060152.Finally, GCF of Fractions for 970/306, 537/269, 209/536 is 1/22060152.