Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/163,8490/540
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 726,8490
Greatest Common Factor of Numerators i.e. GCF of 726,8490 is 6 .
LCM of Denominators means LCM of 163,540 as per the given fractions.
LCM of 163,540 is 88020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 726,8490
2 | 726, 8490 |
3 | 363, 4245 |
121, 1415 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 8490
List of positive integer factors of 8490 that divides 8490 without a remainder.
1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490
Greatest Common Factor
We found the factors 726,8490 . The biggest common factor number is the GCF number.
So the greatest common factor 726,8490 is 6.
Lets's calculate LCM of 163,540
Given numbers has no common factors except 1. So, there LCM is their product i.e 88020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/88020
Therefore, the GCF of Fractions 726/163,8490/540 is 6/88020
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 163,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,540) x common factors =1 x 1 = 1
LCM(163,540) = ( 163 × 540 ) / 1
LCM(163,540) = 88020 / 1
LCM(163,540) = 88020
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 726/163, 8490/540?
Answer: GCF of Numerators as per given numbers 726/163, 8490/540 is
GCF of Numerators i.e. for 726,8490 is 6
LCM of denominators i.e. for 163,540 is 88020.
Thus, GCF of Fractions is 6/88020.Finally, GCF of Fractions for 726/163, 8490/540 is 6/88020.