Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/667,635/895,655/552
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 95,635,655
Greatest Common Factor of Numerators i.e. GCF of 95,635,655 is 5 .
LCM of Denominators means LCM of 667,895,552 as per the given fractions.
LCM of 667,895,552 is 14327160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,635,655
5 | 95, 635, 655 |
19, 127, 131 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 95,635,655 . The biggest common factor number is the GCF number.
So the greatest common factor 95,635,655 is 5.
Lets's calculate LCM of 667,895,552
23 | 667, 895, 552 |
29, 895, 24 |
∴ So the LCM of the given numbers is 23 x 29 x 895 x 24 = 14327160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/14327160
Therefore, the GCF of Fractions 95/667,635/895,655/552 is 5/14327160
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 667,895,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,895,552) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(667,895,552) x common factors =1 x 23 = 23
LCM(667,895,552) = ( 667 × 895 × 552 ) / 23
LCM(667,895,552) = 329524680 / 23
LCM(667,895,552) = 14327160
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 95/667, 635/895, 655/552?
Answer: GCF of Numerators as per given numbers 95/667, 635/895, 655/552 is
GCF of Numerators i.e. for 95,635,655 is 5
LCM of denominators i.e. for 667,895,552 is 14327160.
Thus, GCF of Fractions is 5/14327160.Finally, GCF of Fractions for 95/667, 635/895, 655/552 is 5/14327160.