Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/727,658/616
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 525,658
Greatest Common Factor of Numerators i.e. GCF of 525,658 is 7 .
LCM of Denominators means LCM of 727,616 as per the given fractions.
LCM of 727,616 is 447832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 525,658
7 | 525, 658 |
75, 94 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 525,658 . The biggest common factor number is the GCF number.
So the greatest common factor 525,658 is 7.
Lets's calculate LCM of 727,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 447832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/447832
Therefore, the GCF of Fractions 525/727,658/616 is 7/447832
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 727,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,616) x common factors =1 x 1 = 1
LCM(727,616) = ( 727 × 616 ) / 1
LCM(727,616) = 447832 / 1
LCM(727,616) = 447832
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 525/727, 658/616?
Answer: GCF of Numerators as per given numbers 525/727, 658/616 is
GCF of Numerators i.e. for 525,658 is 7
LCM of denominators i.e. for 727,616 is 447832.
Thus, GCF of Fractions is 7/447832.Finally, GCF of Fractions for 525/727, 658/616 is 7/447832.