Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/851,773/425,572/598
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 98,773,572
Greatest Common Factor of Numerators i.e. GCF of 98,773,572 is 1 .
LCM of Denominators means LCM of 851,425,598 as per the given fractions.
LCM of 851,425,598 is 9403550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,773,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 98,773,572 . The biggest common factor number is the GCF number.
So the greatest common factor 98,773,572 is 1.
Lets's calculate LCM of 851,425,598
23 | 851, 425, 598 |
37, 425, 26 |
∴ So the LCM of the given numbers is 23 x 37 x 425 x 26 = 9403550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9403550
Therefore, the GCF of Fractions 98/851,773/425,572/598 is 1/9403550
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 851,425,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,425,598) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(851,425,598) x common factors =1 x 23 = 23
LCM(851,425,598) = ( 851 × 425 × 598 ) / 23
LCM(851,425,598) = 216281650 / 23
LCM(851,425,598) = 9403550
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 98/851, 773/425, 572/598?
Answer: GCF of Numerators as per given numbers 98/851, 773/425, 572/598 is
GCF of Numerators i.e. for 98,773,572 is 1
LCM of denominators i.e. for 851,425,598 is 9403550.
Thus, GCF of Fractions is 1/9403550.Finally, GCF of Fractions for 98/851, 773/425, 572/598 is 1/9403550.