Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/77,19/63,63/90,725/11
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 39,19,63,725
Greatest Common Factor of Numerators i.e. GCF of 39,19,63,725 is 1 .
LCM of Denominators means LCM of 77,63,90,11 as per the given fractions.
LCM of 77,63,90,11 is 6930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,19,63,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 39,19,63,725 . The biggest common factor number is the GCF number.
So the greatest common factor 39,19,63,725 is 1.
Lets's calculate LCM of 77,63,90,11
3 | 77, 63, 90, 11 |
3 | 77, 21, 30, 11 |
7 | 77, 7, 10, 11 |
11 | 11, 1, 10, 11 |
1, 1, 10, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 11 x 1 x 1 x 10 x 1 = 6930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930
Therefore, the GCF of Fractions 39/77,19/63,63/90,725/11 is 1/6930
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 77,63,90,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,63,90,11) = 1
common factors(in case of two or more numbers have common factors) = 693
GCF(77,63,90,11) x common factors =1 x 693 = 693
LCM(77,63,90,11) = ( 77 × 63 × 90 × 11 ) / 693
LCM(77,63,90,11) = 4802490 / 693
LCM(77,63,90,11) = 6930
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 39/77, 19/63, 63/90, 725/11?
Answer: GCF of Numerators as per given numbers 39/77, 19/63, 63/90, 725/11 is
GCF of Numerators i.e. for 39,19,63,725 is 1
LCM of denominators i.e. for 77,63,90,11 is 6930.
Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 39/77, 19/63, 63/90, 725/11 is 1/6930.