Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/7032,677/7635
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 115,677
Greatest Common Factor of Numerators i.e. GCF of 115,677 is 1 .
LCM of Denominators means LCM of 7032,7635 as per the given fractions.
LCM of 7032,7635 is 17896440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 115,677 . The biggest common factor number is the GCF number.
So the greatest common factor 115,677 is 1.
Lets's calculate LCM of 7032,7635
3 | 7032, 7635 |
2344, 2545 |
∴ So the LCM of the given numbers is 3 x 2344 x 2545 = 17896440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17896440
Therefore, the GCF of Fractions 115/7032,677/7635 is 1/17896440
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 7032,7635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7032,7635) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7032,7635) x common factors =3 x 1 = 3
LCM(7032,7635) = ( 7032 × 7635 ) / 3
LCM(7032,7635) = 53689320 / 3
LCM(7032,7635) = 17896440
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 115/7032, 677/7635?
Answer: GCF of Numerators as per given numbers 115/7032, 677/7635 is
GCF of Numerators i.e. for 115,677 is 1
LCM of denominators i.e. for 7032,7635 is 17896440.
Thus, GCF of Fractions is 1/17896440.Finally, GCF of Fractions for 115/7032, 677/7635 is 1/17896440.