GCF of 675/589, 468/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 675/589, 468/152 i.e 9/4712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/589, 468/152.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 675/589,468/152?
Given fractions are 675/589,468/152
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 675/589,468/152, numerators are 675,468
Denominators are 589,152
The GCF of 675,468 is 9 .
LCM of 589,152 is 4712.
The greatest common factor of 675/589,468/152 = [GCF of 675,468]/[LCM of 589,152]= 9/4712
Therefore, the GCF of 675/589,468/152 is 9/4712.
To find the highest common factor of 675,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 675,468 is 9.
Lets's calculate GCF of 675,468
| 3 | 675, 468 |
| 3 | 225, 156 |
| 75, 52 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 675,468 By Matching Biggest Common Factor Method
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 675,468 . The biggest common factor number is the GCF number.
So the greatest common factor 675,468 is 9.
Lets's calculate LCM of 589,152
| 19 | 589, 152 |
| 31, 8 |
∴ So the LCM of the given numbers is 19 x 31 x 8 = 4712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4712
Therefore, the GCF of Fractions 675/589,468/152 is 9/4712
Least Common Multiple of 589,152 with GCF Formula
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 589,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,152) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(589,152) x common factors =19 x 1 = 19
LCM(589,152) = ( 589 × 152 ) / 19
LCM(589,152) = 89528 / 19
LCM(589,152) = 4712
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FAQs on GCF of Fractions of 675/589, 468/152
1. What is the HCF of 675,468?
The HCF of 675,468 is 9
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 675/589, 468/152?
Answer: GCF of Numerators as per given numbers 675/589, 468/152 is
GCF of Numerators i.e. for 675,468 is 9
LCM of denominators i.e. for 589,152 is 4712.
Thus, GCF of Fractions is 9/4712.Finally, GCF of Fractions for 675/589, 468/152 is 9/4712.