Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/68,757/484
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 901,757
Greatest Common Factor of Numerators i.e. GCF of 901,757 is 1 .
LCM of Denominators means LCM of 68,484 as per the given fractions.
LCM of 68,484 is 8228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 901,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Greatest Common Factor
We found the factors 901,757 . The biggest common factor number is the GCF number.
So the greatest common factor 901,757 is 1.
Lets's calculate LCM of 68,484
2 | 68, 484 |
2 | 34, 242 |
17, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 121 = 8228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8228
Therefore, the GCF of Fractions 901/68,757/484 is 1/8228
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 68,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,484) x common factors =4 x 1 = 4
LCM(68,484) = ( 68 × 484 ) / 4
LCM(68,484) = 32912 / 4
LCM(68,484) = 8228
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 901/68, 757/484?
Answer: GCF of Numerators as per given numbers 901/68, 757/484 is
GCF of Numerators i.e. for 901,757 is 1
LCM of denominators i.e. for 68,484 is 8228.
Thus, GCF of Fractions is 1/8228.Finally, GCF of Fractions for 901/68, 757/484 is 1/8228.