GCF of 6480/374, 4221/690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6480/374, 4221/690 i.e 9/129030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6480/374, 4221/690.
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 6480/374,4221/690?
Given fractions are 6480/374,4221/690
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 6480/374,4221/690, numerators are 6480,4221
Denominators are 374,690
The GCF of 6480,4221 is 9 .
LCM of 374,690 is 129030.
The greatest common factor of 6480/374,4221/690 = [GCF of 6480,4221]/[LCM of 374,690]= 9/129030
Therefore, the GCF of 6480/374,4221/690 is 9/129030.
To find the highest common factor of 6480,4221, we have to find the factors of both numbers and list the highest common factor.
The factors of 6480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, 6480
The factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
The HCF of 6480,4221 is 9.
Lets's calculate GCF of 6480,4221
| 3 | 6480, 4221 |
| 3 | 2160, 1407 |
| 720, 469 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6480,4221 By Matching Biggest Common Factor Method
Now, list down the factors of 6480
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480
Now, list down the factors of 4221
:1,3,7,9,21,63,67,201,469,603,1407,4221
Greatest Common Factor
We found the factors 6480,4221 . The biggest common factor number is the GCF number.
So the greatest common factor 6480,4221 is 9.
Lets's calculate LCM of 374,690
| 2 | 374, 690 |
| 187, 345 |
∴ So the LCM of the given numbers is 2 x 187 x 345 = 129030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/129030
Therefore, the GCF of Fractions 6480/374,4221/690 is 9/129030
Least Common Multiple of 374,690 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 374,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,690) x common factors =2 x 1 = 2
LCM(374,690) = ( 374 × 690 ) / 2
LCM(374,690) = 258060 / 2
LCM(374,690) = 129030
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FAQs on GCF of Fractions of 6480/374, 4221/690
1. What is the HCF of 6480,4221?
The HCF of 6480,4221 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 6480/374, 4221/690?
Answer: GCF of Numerators as per given numbers 6480/374, 4221/690 is
GCF of Numerators i.e. for 6480,4221 is 9
LCM of denominators i.e. for 374,690 is 129030.
Thus, GCF of Fractions is 9/129030.Finally, GCF of Fractions for 6480/374, 4221/690 is 9/129030.