Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/510,22/855,537/967
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 94,22,537
Greatest Common Factor of Numerators i.e. GCF of 94,22,537 is 1 .
LCM of Denominators means LCM of 510,855,967 as per the given fractions.
LCM of 510,855,967 is 28110690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,22,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 94,22,537 . The biggest common factor number is the GCF number.
So the greatest common factor 94,22,537 is 1.
Lets's calculate LCM of 510,855,967
3 | 510, 855, 967 |
5 | 170, 285, 967 |
34, 57, 967 |
∴ So the LCM of the given numbers is 3 x 5 x 34 x 57 x 967 = 28110690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28110690
Therefore, the GCF of Fractions 94/510,22/855,537/967 is 1/28110690
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 510,855,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,855,967) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(510,855,967) x common factors =1 x 15 = 15
LCM(510,855,967) = ( 510 × 855 × 967 ) / 15
LCM(510,855,967) = 421660350 / 15
LCM(510,855,967) = 28110690
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 94/510, 22/855, 537/967?
Answer: GCF of Numerators as per given numbers 94/510, 22/855, 537/967 is
GCF of Numerators i.e. for 94,22,537 is 1
LCM of denominators i.e. for 510,855,967 is 28110690.
Thus, GCF of Fractions is 1/28110690.Finally, GCF of Fractions for 94/510, 22/855, 537/967 is 1/28110690.