GCF of 7114/812, 6480/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7114/812, 6480/389 i.e 2/315868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7114/812, 6480/389.
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 7114/812,6480/389?
Given fractions are 7114/812,6480/389
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 7114/812,6480/389, numerators are 7114,6480
Denominators are 812,389
The GCF of 7114,6480 is 2 .
LCM of 812,389 is 315868.
The greatest common factor of 7114/812,6480/389 = [GCF of 7114,6480]/[LCM of 812,389]= 2/315868
Therefore, the GCF of 7114/812,6480/389 is 2/315868.
To find the highest common factor of 7114,6480, we have to find the factors of both numbers and list the highest common factor.
The factors of 7114 are 1, 2, 3557, 7114
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 HCF of 7114,6480 is 2.
Lets's calculate GCF of 7114,6480
| 2 | 7114, 6480 |
| 3557, 3240 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7114,6480 By Matching Biggest Common Factor Method
Now, list down the factors of 7114
:1,2,3557,7114
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
Greatest Common Factor
We found the factors 7114,6480 . The biggest common factor number is the GCF number.
So the greatest common factor 7114,6480 is 2.
Lets's calculate LCM of 812,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 315868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/315868
Therefore, the GCF of Fractions 7114/812,6480/389 is 2/315868
Least Common Multiple of 812,389 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 812,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,389) x common factors =1 x 1 = 1
LCM(812,389) = ( 812 × 389 ) / 1
LCM(812,389) = 315868 / 1
LCM(812,389) = 315868
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FAQs on GCF of Fractions of 7114/812, 6480/389
1. What is the HCF of 7114,6480?
The HCF of 7114,6480 is 2
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 7114/812, 6480/389?
Answer: GCF of Numerators as per given numbers 7114/812, 6480/389 is
GCF of Numerators i.e. for 7114,6480 is 2
LCM of denominators i.e. for 812,389 is 315868.
Thus, GCF of Fractions is 2/315868.Finally, GCF of Fractions for 7114/812, 6480/389 is 2/315868.