GCF of 4509/354, 6462/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4509/354, 6462/630 i.e 9/37170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4509/354, 6462/630.
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 4509/354,6462/630?
Given fractions are 4509/354,6462/630
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 4509/354,6462/630, numerators are 4509,6462
Denominators are 354,630
The GCF of 4509,6462 is 9 .
LCM of 354,630 is 37170.
The greatest common factor of 4509/354,6462/630 = [GCF of 4509,6462]/[LCM of 354,630]= 9/37170
Therefore, the GCF of 4509/354,6462/630 is 9/37170.
To find the highest common factor of 4509,6462, we have to find the factors of both numbers and list the highest common factor.
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
The HCF of 4509,6462 is 9.
Lets's calculate GCF of 4509,6462
| 3 | 4509, 6462 |
| 3 | 1503, 2154 |
| 501, 718 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4509,6462 By Matching Biggest Common Factor Method
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Now, list down the factors of 6462
:1,2,3,6,9,18,359,718,1077,2154,3231,6462
Greatest Common Factor
We found the factors 4509,6462 . The biggest common factor number is the GCF number.
So the greatest common factor 4509,6462 is 9.
Lets's calculate LCM of 354,630
| 2 | 354, 630 |
| 3 | 177, 315 |
| 59, 105 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 105 = 37170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/37170
Therefore, the GCF of Fractions 4509/354,6462/630 is 9/37170
Least Common Multiple of 354,630 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 354,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,630) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,630) x common factors =6 x 1 = 6
LCM(354,630) = ( 354 × 630 ) / 6
LCM(354,630) = 223020 / 6
LCM(354,630) = 37170
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FAQs on GCF of Fractions of 4509/354, 6462/630
1. What is the HCF of 4509,6462?
The HCF of 4509,6462 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 4509/354, 6462/630?
Answer: GCF of Numerators as per given numbers 4509/354, 6462/630 is
GCF of Numerators i.e. for 4509,6462 is 9
LCM of denominators i.e. for 354,630 is 37170.
Thus, GCF of Fractions is 9/37170.Finally, GCF of Fractions for 4509/354, 6462/630 is 9/37170.