Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/84,39/59,693/770
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 90,39,693
Greatest Common Factor of Numerators i.e. GCF of 90,39,693 is 3 .
LCM of Denominators means LCM of 84,59,770 as per the given fractions.
LCM of 84,59,770 is 272580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,39,693
3 | 90, 39, 693 |
30, 13, 231 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 90,39,693 . The biggest common factor number is the GCF number.
So the greatest common factor 90,39,693 is 3.
Lets's calculate LCM of 84,59,770
2 | 84, 59, 770 |
7 | 42, 59, 385 |
6, 59, 55 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 59 x 55 = 272580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/272580
Therefore, the GCF of Fractions 90/84,39/59,693/770 is 3/272580
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 84,59,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,59,770) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(84,59,770) x common factors =1 x 14 = 14
LCM(84,59,770) = ( 84 × 59 × 770 ) / 14
LCM(84,59,770) = 3816120 / 14
LCM(84,59,770) = 272580
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 90/84, 39/59, 693/770?
Answer: GCF of Numerators as per given numbers 90/84, 39/59, 693/770 is
GCF of Numerators i.e. for 90,39,693 is 3
LCM of denominators i.e. for 84,59,770 is 272580.
Thus, GCF of Fractions is 3/272580.Finally, GCF of Fractions for 90/84, 39/59, 693/770 is 3/272580.