GCF of 6480/987, 7124/8567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6480/987, 7124/8567 i.e 4/8455629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6480/987, 7124/8567.
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 6480/987,7124/8567?
Given fractions are 6480/987,7124/8567
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 6480/987,7124/8567, numerators are 6480,7124
Denominators are 987,8567
The GCF of 6480,7124 is 4 .
LCM of 987,8567 is 8455629.
The greatest common factor of 6480/987,7124/8567 = [GCF of 6480,7124]/[LCM of 987,8567]= 4/8455629
Therefore, the GCF of 6480/987,7124/8567 is 4/8455629.
To find the highest common factor of 6480,7124, 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 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 6480,7124 is 4.
Lets's calculate GCF of 6480,7124
| 2 | 6480, 7124 |
| 2 | 3240, 3562 |
| 1620, 1781 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6480,7124 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 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 6480,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 6480,7124 is 4.
Lets's calculate LCM of 987,8567
Given numbers has no common factors except 1. So, there LCM is their product i.e 8455629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8455629
Therefore, the GCF of Fractions 6480/987,7124/8567 is 4/8455629
Least Common Multiple of 987,8567 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 987,8567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,8567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,8567) x common factors =1 x 1 = 1
LCM(987,8567) = ( 987 × 8567 ) / 1
LCM(987,8567) = 8455629 / 1
LCM(987,8567) = 8455629
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6480/987, 7124/8567
1. What is the HCF of 6480,7124?
The HCF of 6480,7124 is 4
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 6480/987, 7124/8567?
Answer: GCF of Numerators as per given numbers 6480/987, 7124/8567 is
GCF of Numerators i.e. for 6480,7124 is 4
LCM of denominators i.e. for 987,8567 is 8455629.
Thus, GCF of Fractions is 4/8455629.Finally, GCF of Fractions for 6480/987, 7124/8567 is 4/8455629.