Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8548/640,8737/8645
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 8548,8737
Greatest Common Factor of Numerators i.e. GCF of 8548,8737 is 1 .
LCM of Denominators means LCM of 640,8645 as per the given fractions.
LCM of 640,8645 is 1106560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8548,8737
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8548
List of positive integer factors of 8548 that divides 8548 without a remainder.
1,2,4,2137,4274,8548
Factors of 8737
List of positive integer factors of 8737 that divides 8737 without a remainder.
1,8737
Greatest Common Factor
We found the factors 8548,8737 . The biggest common factor number is the GCF number.
So the greatest common factor 8548,8737 is 1.
Lets's calculate LCM of 640,8645
5 | 640, 8645 |
128, 1729 |
∴ So the LCM of the given numbers is 5 x 128 x 1729 = 1106560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1106560
Therefore, the GCF of Fractions 8548/640,8737/8645 is 1/1106560
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 640,8645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,8645) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,8645) x common factors =5 x 1 = 5
LCM(640,8645) = ( 640 × 8645 ) / 5
LCM(640,8645) = 5532800 / 5
LCM(640,8645) = 1106560
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 8548/640, 8737/8645?
Answer: GCF of Numerators as per given numbers 8548/640, 8737/8645 is
GCF of Numerators i.e. for 8548,8737 is 1
LCM of denominators i.e. for 640,8645 is 1106560.
Thus, GCF of Fractions is 1/1106560.Finally, GCF of Fractions for 8548/640, 8737/8645 is 1/1106560.