Use our free GCF of Fractions Calculator tool to compute the GCF of 84/89, 852/53, 432/740 i.e 12/3490580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/89, 852/53, 432/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/89,852/53,432/740
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 84/89,852/53,432/740, numerators are 84,852,432
Denominators are 89,53,740
The GCF of 84,852,432 is 12 .
LCM of 89,53,740 is 3490580.
The greatest common factor of 84/89,852/53,432/740 = [GCF of 84,852,432]/[LCM of 89,53,740]= 12/3490580
Therefore, the GCF of 84/89,852/53,432/740 is 12/3490580.
To find the highest common factor of 84,852,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 84,852,432 is 12.
Lets's calculate GCF of 84,852,432
2 | 84, 852, 432 |
2 | 42, 426, 216 |
3 | 21, 213, 108 |
7, 71, 36 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 84,852,432 . The biggest common factor number is the GCF number.
So the greatest common factor 84,852,432 is 12.
Lets's calculate LCM of 89,53,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 3490580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3490580
Therefore, the GCF of Fractions 84/89,852/53,432/740 is 12/3490580
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 89,53,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,53,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,53,740) x common factors =1 x 1 = 1
LCM(89,53,740) = ( 89 × 53 × 740 ) / 1
LCM(89,53,740) = 3490580 / 1
LCM(89,53,740) = 3490580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,852,432?
The HCF of 84,852,432 is 12
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 84/89, 852/53, 432/740?
Answer: GCF of Numerators as per given numbers 84/89, 852/53, 432/740 is
GCF of Numerators i.e. for 84,852,432 is 12
LCM of denominators i.e. for 89,53,740 is 3490580.
Thus, GCF of Fractions is 12/3490580.Finally, GCF of Fractions for 84/89, 852/53, 432/740 is 12/3490580.