Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/961,319/510,891/328
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 542,319,891
Greatest Common Factor of Numerators i.e. GCF of 542,319,891 is 1 .
LCM of Denominators means LCM of 961,510,328 as per the given fractions.
LCM of 961,510,328 is 80378040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,319,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 542,319,891 . The biggest common factor number is the GCF number.
So the greatest common factor 542,319,891 is 1.
Lets's calculate LCM of 961,510,328
2 | 961, 510, 328 |
961, 255, 164 |
∴ So the LCM of the given numbers is 2 x 961 x 255 x 164 = 80378040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80378040
Therefore, the GCF of Fractions 542/961,319/510,891/328 is 1/80378040
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 961,510,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,510,328) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(961,510,328) x common factors =1 x 2 = 2
LCM(961,510,328) = ( 961 × 510 × 328 ) / 2
LCM(961,510,328) = 160756080 / 2
LCM(961,510,328) = 80378040
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 542/961, 319/510, 891/328?
Answer: GCF of Numerators as per given numbers 542/961, 319/510, 891/328 is
GCF of Numerators i.e. for 542,319,891 is 1
LCM of denominators i.e. for 961,510,328 is 80378040.
Thus, GCF of Fractions is 1/80378040.Finally, GCF of Fractions for 542/961, 319/510, 891/328 is 1/80378040.