Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 467/316,7698/960
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 467,7698
Greatest Common Factor of Numerators i.e. GCF of 467,7698 is 1 .
LCM of Denominators means LCM of 316,960 as per the given fractions.
LCM of 316,960 is 75840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 467,7698
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 7698
List of positive integer factors of 7698 that divides 7698 without a remainder.
1,2,3,6,1283,2566,3849,7698
Greatest Common Factor
We found the factors 467,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 467,7698 is 1.
Lets's calculate LCM of 316,960
2 | 316, 960 |
2 | 158, 480 |
79, 240 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 240 = 75840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75840
Therefore, the GCF of Fractions 467/316,7698/960 is 1/75840
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 316,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,960) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,960) x common factors =4 x 1 = 4
LCM(316,960) = ( 316 × 960 ) / 4
LCM(316,960) = 303360 / 4
LCM(316,960) = 75840
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 467/316, 7698/960?
Answer: GCF of Numerators as per given numbers 467/316, 7698/960 is
GCF of Numerators i.e. for 467,7698 is 1
LCM of denominators i.e. for 316,960 is 75840.
Thus, GCF of Fractions is 1/75840.Finally, GCF of Fractions for 467/316, 7698/960 is 1/75840.