Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/548,742/527,592/510
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 145,742,592
Greatest Common Factor of Numerators i.e. GCF of 145,742,592 is 1 .
LCM of Denominators means LCM of 548,527,510 as per the given fractions.
LCM of 548,527,510 is 4331940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 145,742,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 145,742,592 . The biggest common factor number is the GCF number.
So the greatest common factor 145,742,592 is 1.
Lets's calculate LCM of 548,527,510
2 | 548, 527, 510 |
17 | 274, 527, 255 |
274, 31, 15 |
∴ So the LCM of the given numbers is 2 x 17 x 274 x 31 x 15 = 4331940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4331940
Therefore, the GCF of Fractions 145/548,742/527,592/510 is 1/4331940
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 548,527,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,527,510) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(548,527,510) x common factors =1 x 34 = 34
LCM(548,527,510) = ( 548 × 527 × 510 ) / 34
LCM(548,527,510) = 147285960 / 34
LCM(548,527,510) = 4331940
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 145/548, 742/527, 592/510?
Answer: GCF of Numerators as per given numbers 145/548, 742/527, 592/510 is
GCF of Numerators i.e. for 145,742,592 is 1
LCM of denominators i.e. for 548,527,510 is 4331940.
Thus, GCF of Fractions is 1/4331940.Finally, GCF of Fractions for 145/548, 742/527, 592/510 is 1/4331940.