Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/6534,992/7088
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 542,992
Greatest Common Factor of Numerators i.e. GCF of 542,992 is 2 .
LCM of Denominators means LCM of 6534,7088 as per the given fractions.
LCM of 6534,7088 is 23156496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,992
2 | 542, 992 |
271, 496 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 542,992 . The biggest common factor number is the GCF number.
So the greatest common factor 542,992 is 2.
Lets's calculate LCM of 6534,7088
2 | 6534, 7088 |
3267, 3544 |
∴ So the LCM of the given numbers is 2 x 3267 x 3544 = 23156496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23156496
Therefore, the GCF of Fractions 542/6534,992/7088 is 2/23156496
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 6534,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6534,7088) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6534,7088) x common factors =2 x 1 = 2
LCM(6534,7088) = ( 6534 × 7088 ) / 2
LCM(6534,7088) = 46312992 / 2
LCM(6534,7088) = 23156496
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 542/6534, 992/7088?
Answer: GCF of Numerators as per given numbers 542/6534, 992/7088 is
GCF of Numerators i.e. for 542,992 is 2
LCM of denominators i.e. for 6534,7088 is 23156496.
Thus, GCF of Fractions is 2/23156496.Finally, GCF of Fractions for 542/6534, 992/7088 is 2/23156496.