Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6501/658,6059/888
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 6501,6059
Greatest Common Factor of Numerators i.e. GCF of 6501,6059 is 1 .
LCM of Denominators means LCM of 658,888 as per the given fractions.
LCM of 658,888 is 292152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6501,6059
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6501
List of positive integer factors of 6501 that divides 6501 without a remainder.
1,3,11,33,197,591,2167,6501
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1,73,83,6059
Greatest Common Factor
We found the factors 6501,6059 . The biggest common factor number is the GCF number.
So the greatest common factor 6501,6059 is 1.
Lets's calculate LCM of 658,888
2 | 658, 888 |
329, 444 |
∴ So the LCM of the given numbers is 2 x 329 x 444 = 292152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292152
Therefore, the GCF of Fractions 6501/658,6059/888 is 1/292152
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 658,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,888) x common factors =2 x 1 = 2
LCM(658,888) = ( 658 × 888 ) / 2
LCM(658,888) = 584304 / 2
LCM(658,888) = 292152
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 6501/658, 6059/888?
Answer: GCF of Numerators as per given numbers 6501/658, 6059/888 is
GCF of Numerators i.e. for 6501,6059 is 1
LCM of denominators i.e. for 658,888 is 292152.
Thus, GCF of Fractions is 1/292152.Finally, GCF of Fractions for 6501/658, 6059/888 is 1/292152.