Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5861/88,7529/654
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 5861,7529
Greatest Common Factor of Numerators i.e. GCF of 5861,7529 is 1 .
LCM of Denominators means LCM of 88,654 as per the given fractions.
LCM of 88,654 is 28776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5861,7529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5861
List of positive integer factors of 5861 that divides 5861 without a remainder.
1,5861
Factors of 7529
List of positive integer factors of 7529 that divides 7529 without a remainder.
1,7529
Greatest Common Factor
We found the factors 5861,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 5861,7529 is 1.
Lets's calculate LCM of 88,654
2 | 88, 654 |
44, 327 |
∴ So the LCM of the given numbers is 2 x 44 x 327 = 28776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28776
Therefore, the GCF of Fractions 5861/88,7529/654 is 1/28776
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 88,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(88,654) x common factors =2 x 1 = 2
LCM(88,654) = ( 88 × 654 ) / 2
LCM(88,654) = 57552 / 2
LCM(88,654) = 28776
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 5861/88, 7529/654?
Answer: GCF of Numerators as per given numbers 5861/88, 7529/654 is
GCF of Numerators i.e. for 5861,7529 is 1
LCM of denominators i.e. for 88,654 is 28776.
Thus, GCF of Fractions is 1/28776.Finally, GCF of Fractions for 5861/88, 7529/654 is 1/28776.