Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/158,85/391,649/575
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 21,85,649
Greatest Common Factor of Numerators i.e. GCF of 21,85,649 is 1 .
LCM of Denominators means LCM of 158,391,575 as per the given fractions.
LCM of 158,391,575 is 1544450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,85,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 21,85,649 . The biggest common factor number is the GCF number.
So the greatest common factor 21,85,649 is 1.
Lets's calculate LCM of 158,391,575
23 | 158, 391, 575 |
158, 17, 25 |
∴ So the LCM of the given numbers is 23 x 158 x 17 x 25 = 1544450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1544450
Therefore, the GCF of Fractions 21/158,85/391,649/575 is 1/1544450
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 158,391,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,391,575) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(158,391,575) x common factors =1 x 23 = 23
LCM(158,391,575) = ( 158 × 391 × 575 ) / 23
LCM(158,391,575) = 35522350 / 23
LCM(158,391,575) = 1544450
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 21/158, 85/391, 649/575?
Answer: GCF of Numerators as per given numbers 21/158, 85/391, 649/575 is
GCF of Numerators i.e. for 21,85,649 is 1
LCM of denominators i.e. for 158,391,575 is 1544450.
Thus, GCF of Fractions is 1/1544450.Finally, GCF of Fractions for 21/158, 85/391, 649/575 is 1/1544450.