Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/89,74/87,28/810,501/884
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 8,74,28,501
Greatest Common Factor of Numerators i.e. GCF of 8,74,28,501 is 1 .
LCM of Denominators means LCM of 89,87,810,884 as per the given fractions.
LCM of 89,87,810,884 is 924049620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,74,28,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 8,74,28,501 . The biggest common factor number is the GCF number.
So the greatest common factor 8,74,28,501 is 1.
Lets's calculate LCM of 89,87,810,884
2 | 89, 87, 810, 884 |
3 | 89, 87, 405, 442 |
89, 29, 135, 442 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 29 x 135 x 442 = 924049620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/924049620
Therefore, the GCF of Fractions 8/89,74/87,28/810,501/884 is 1/924049620
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 89,87,810,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,87,810,884) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(89,87,810,884) x common factors =1 x 6 = 6
LCM(89,87,810,884) = ( 89 × 87 × 810 × 884 ) / 6
LCM(89,87,810,884) = 5544297720 / 6
LCM(89,87,810,884) = 924049620
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 8/89, 74/87, 28/810, 501/884?
Answer: GCF of Numerators as per given numbers 8/89, 74/87, 28/810, 501/884 is
GCF of Numerators i.e. for 8,74,28,501 is 1
LCM of denominators i.e. for 89,87,810,884 is 924049620.
Thus, GCF of Fractions is 1/924049620.Finally, GCF of Fractions for 8/89, 74/87, 28/810, 501/884 is 1/924049620.