Use our free GCF of Fractions Calculator tool to compute the GCF of 43/409, 29/927, 840/136 i.e 1/51563448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/409, 29/927, 840/136.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/409,29/927,840/136
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 43/409,29/927,840/136, numerators are 43,29,840
Denominators are 409,927,136
The GCF of 43,29,840 is 1 .
LCM of 409,927,136 is 51563448.
The greatest common factor of 43/409,29/927,840/136 = [GCF of 43,29,840]/[LCM of 409,927,136]= 1/51563448
Therefore, the GCF of 43/409,29/927,840/136 is 1/51563448.
To find the highest common factor of 43,29,840, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 29 are 1, 29
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
The HCF of 43,29,840 is 1.
Lets's calculate GCF of 43,29,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 43
:1,43
Now, list down the factors of 29
:1,29
Now, list down the factors of 840
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 43,29,840 . The biggest common factor number is the GCF number.
So the greatest common factor 43,29,840 is 1.
Lets's calculate LCM of 409,927,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 51563448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51563448
Therefore, the GCF of Fractions 43/409,29/927,840/136 is 1/51563448
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 409,927,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,927,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,927,136) x common factors =1 x 1 = 1
LCM(409,927,136) = ( 409 × 927 × 136 ) / 1
LCM(409,927,136) = 51563448 / 1
LCM(409,927,136) = 51563448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,29,840?
The HCF of 43,29,840 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 43/409, 29/927, 840/136?
Answer: GCF of Numerators as per given numbers 43/409, 29/927, 840/136 is
GCF of Numerators i.e. for 43,29,840 is 1
LCM of denominators i.e. for 409,927,136 is 51563448.
Thus, GCF of Fractions is 1/51563448.Finally, GCF of Fractions for 43/409, 29/927, 840/136 is 1/51563448.