Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/129,490/597
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 779,490
Greatest Common Factor of Numerators i.e. GCF of 779,490 is 1 .
LCM of Denominators means LCM of 129,597 as per the given fractions.
LCM of 129,597 is 25671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 779,490 . The biggest common factor number is the GCF number.
So the greatest common factor 779,490 is 1.
Lets's calculate LCM of 129,597
3 | 129, 597 |
43, 199 |
∴ So the LCM of the given numbers is 3 x 43 x 199 = 25671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25671
Therefore, the GCF of Fractions 779/129,490/597 is 1/25671
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 129,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,597) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,597) x common factors =3 x 1 = 3
LCM(129,597) = ( 129 × 597 ) / 3
LCM(129,597) = 77013 / 3
LCM(129,597) = 25671
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 779/129, 490/597?
Answer: GCF of Numerators as per given numbers 779/129, 490/597 is
GCF of Numerators i.e. for 779,490 is 1
LCM of denominators i.e. for 129,597 is 25671.
Thus, GCF of Fractions is 1/25671.Finally, GCF of Fractions for 779/129, 490/597 is 1/25671.