Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/31,299/71,456/553
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 46,299,456
Greatest Common Factor of Numerators i.e. GCF of 46,299,456 is 1 .
LCM of Denominators means LCM of 31,71,553 as per the given fractions.
LCM of 31,71,553 is 1217153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,299,456
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 46,299,456 . The biggest common factor number is the GCF number.
So the greatest common factor 46,299,456 is 1.
Lets's calculate LCM of 31,71,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 1217153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1217153
Therefore, the GCF of Fractions 46/31,299/71,456/553 is 1/1217153
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 31,71,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,71,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,71,553) x common factors =1 x 1 = 1
LCM(31,71,553) = ( 31 × 71 × 553 ) / 1
LCM(31,71,553) = 1217153 / 1
LCM(31,71,553) = 1217153
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 46/31, 299/71, 456/553?
Answer: GCF of Numerators as per given numbers 46/31, 299/71, 456/553 is
GCF of Numerators i.e. for 46,299,456 is 1
LCM of denominators i.e. for 31,71,553 is 1217153.
Thus, GCF of Fractions is 1/1217153.Finally, GCF of Fractions for 46/31, 299/71, 456/553 is 1/1217153.