GCF of 1458/569, 4509/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1458/569, 4509/107 i.e 27/60883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1458/569, 4509/107.
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 1458/569,4509/107?
Given fractions are 1458/569,4509/107
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 1458/569,4509/107, numerators are 1458,4509
Denominators are 569,107
The GCF of 1458,4509 is 27 .
LCM of 569,107 is 60883.
The greatest common factor of 1458/569,4509/107 = [GCF of 1458,4509]/[LCM of 569,107]= 27/60883
Therefore, the GCF of 1458/569,4509/107 is 27/60883.
To find the highest common factor of 1458,4509, we have to find the factors of both numbers and list the highest common factor.
The factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The HCF of 1458,4509 is 27.
Lets's calculate GCF of 1458,4509
| 3 | 1458, 4509 |
| 3 | 486, 1503 |
| 3 | 162, 501 |
| 54, 167 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 1458,4509 By Matching Biggest Common Factor Method
Now, list down the factors of 1458
:1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 1458,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 1458,4509 is 27.
Lets's calculate LCM of 569,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 60883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/60883
Therefore, the GCF of Fractions 1458/569,4509/107 is 27/60883
Least Common Multiple of 569,107 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 569,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,107) x common factors =1 x 1 = 1
LCM(569,107) = ( 569 × 107 ) / 1
LCM(569,107) = 60883 / 1
LCM(569,107) = 60883
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FAQs on GCF of Fractions of 1458/569, 4509/107
1. What is the HCF of 1458,4509?
The HCF of 1458,4509 is 27
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 1458/569, 4509/107?
Answer: GCF of Numerators as per given numbers 1458/569, 4509/107 is
GCF of Numerators i.e. for 1458,4509 is 27
LCM of denominators i.e. for 569,107 is 60883.
Thus, GCF of Fractions is 27/60883.Finally, GCF of Fractions for 1458/569, 4509/107 is 27/60883.