Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1474/640,8663/6262
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 1474,8663
Greatest Common Factor of Numerators i.e. GCF of 1474,8663 is 1 .
LCM of Denominators means LCM of 640,6262 as per the given fractions.
LCM of 640,6262 is 2003840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1474,8663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1474
List of positive integer factors of 1474 that divides 1474 without a remainder.
1,2,11,22,67,134,737,1474
Factors of 8663
List of positive integer factors of 8663 that divides 8663 without a remainder.
1,8663
Greatest Common Factor
We found the factors 1474,8663 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,8663 is 1.
Lets's calculate LCM of 640,6262
2 | 640, 6262 |
320, 3131 |
∴ So the LCM of the given numbers is 2 x 320 x 3131 = 2003840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2003840
Therefore, the GCF of Fractions 1474/640,8663/6262 is 1/2003840
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 640,6262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,6262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,6262) x common factors =2 x 1 = 2
LCM(640,6262) = ( 640 × 6262 ) / 2
LCM(640,6262) = 4007680 / 2
LCM(640,6262) = 2003840
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 1474/640, 8663/6262?
Answer: GCF of Numerators as per given numbers 1474/640, 8663/6262 is
GCF of Numerators i.e. for 1474,8663 is 1
LCM of denominators i.e. for 640,6262 is 2003840.
Thus, GCF of Fractions is 1/2003840.Finally, GCF of Fractions for 1474/640, 8663/6262 is 1/2003840.