Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6488/685,1531/7626
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 6488,1531
Greatest Common Factor of Numerators i.e. GCF of 6488,1531 is 1 .
LCM of Denominators means LCM of 685,7626 as per the given fractions.
LCM of 685,7626 is 5223810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6488,1531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6488
List of positive integer factors of 6488 that divides 6488 without a remainder.
1,2,4,8,811,1622,3244,6488
Factors of 1531
List of positive integer factors of 1531 that divides 1531 without a remainder.
1,1531
Greatest Common Factor
We found the factors 6488,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 6488,1531 is 1.
Lets's calculate LCM of 685,7626
Given numbers has no common factors except 1. So, there LCM is their product i.e 5223810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5223810
Therefore, the GCF of Fractions 6488/685,1531/7626 is 1/5223810
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 685,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,7626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,7626) x common factors =1 x 1 = 1
LCM(685,7626) = ( 685 × 7626 ) / 1
LCM(685,7626) = 5223810 / 1
LCM(685,7626) = 5223810
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 6488/685, 1531/7626?
Answer: GCF of Numerators as per given numbers 6488/685, 1531/7626 is
GCF of Numerators i.e. for 6488,1531 is 1
LCM of denominators i.e. for 685,7626 is 5223810.
Thus, GCF of Fractions is 1/5223810.Finally, GCF of Fractions for 6488/685, 1531/7626 is 1/5223810.