Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9475/98,9404/182
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 9475,9404
Greatest Common Factor of Numerators i.e. GCF of 9475,9404 is 1 .
LCM of Denominators means LCM of 98,182 as per the given fractions.
LCM of 98,182 is 1274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9475,9404
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9475
List of positive integer factors of 9475 that divides 9475 without a remainder.
1,5,25,379,1895,9475
Factors of 9404
List of positive integer factors of 9404 that divides 9404 without a remainder.
1,2,4,2351,4702,9404
Greatest Common Factor
We found the factors 9475,9404 . The biggest common factor number is the GCF number.
So the greatest common factor 9475,9404 is 1.
Lets's calculate LCM of 98,182
2 | 98, 182 |
7 | 49, 91 |
7, 13 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 13 = 1274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1274
Therefore, the GCF of Fractions 9475/98,9404/182 is 1/1274
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 98,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,182) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(98,182) x common factors =14 x 1 = 14
LCM(98,182) = ( 98 × 182 ) / 14
LCM(98,182) = 17836 / 14
LCM(98,182) = 1274
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 9475/98, 9404/182?
Answer: GCF of Numerators as per given numbers 9475/98, 9404/182 is
GCF of Numerators i.e. for 9475,9404 is 1
LCM of denominators i.e. for 98,182 is 1274.
Thus, GCF of Fractions is 1/1274.Finally, GCF of Fractions for 9475/98, 9404/182 is 1/1274.