Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/86,755/4684
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 542,755
Greatest Common Factor of Numerators i.e. GCF of 542,755 is 1 .
LCM of Denominators means LCM of 86,4684 as per the given fractions.
LCM of 86,4684 is 201412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,755
∴ 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 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 542,755 . The biggest common factor number is the GCF number.
So the greatest common factor 542,755 is 1.
Lets's calculate LCM of 86,4684
2 | 86, 4684 |
43, 2342 |
∴ So the LCM of the given numbers is 2 x 43 x 2342 = 201412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201412
Therefore, the GCF of Fractions 542/86,755/4684 is 1/201412
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 86,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,4684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,4684) x common factors =2 x 1 = 2
LCM(86,4684) = ( 86 × 4684 ) / 2
LCM(86,4684) = 402824 / 2
LCM(86,4684) = 201412
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 542/86, 755/4684?
Answer: GCF of Numerators as per given numbers 542/86, 755/4684 is
GCF of Numerators i.e. for 542,755 is 1
LCM of denominators i.e. for 86,4684 is 201412.
Thus, GCF of Fractions is 1/201412.Finally, GCF of Fractions for 542/86, 755/4684 is 1/201412.