GCF of 2672/180, 9720/5036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2672/180, 9720/5036 i.e 8/226620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2672/180, 9720/5036.
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 2672/180,9720/5036?
Given fractions are 2672/180,9720/5036
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 2672/180,9720/5036, numerators are 2672,9720
Denominators are 180,5036
The GCF of 2672,9720 is 8 .
LCM of 180,5036 is 226620.
The greatest common factor of 2672/180,9720/5036 = [GCF of 2672,9720]/[LCM of 180,5036]= 8/226620
Therefore, the GCF of 2672/180,9720/5036 is 8/226620.
To find the highest common factor of 2672,9720, we have to find the factors of both numbers and list the highest common factor.
The factors of 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 2672,9720 is 8.
Lets's calculate GCF of 2672,9720
| 2 | 2672, 9720 |
| 2 | 1336, 4860 |
| 2 | 668, 2430 |
| 334, 1215 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2672,9720 By Matching Biggest Common Factor Method
Now, list down the factors of 2672
:1,2,4,8,16,167,334,668,1336,2672
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 2672,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 2672,9720 is 8.
Lets's calculate LCM of 180,5036
| 2 | 180, 5036 |
| 2 | 90, 2518 |
| 45, 1259 |
∴ So the LCM of the given numbers is 2 x 2 x 45 x 1259 = 226620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/226620
Therefore, the GCF of Fractions 2672/180,9720/5036 is 8/226620
Least Common Multiple of 180,5036 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 180,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,5036) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(180,5036) x common factors =4 x 1 = 4
LCM(180,5036) = ( 180 × 5036 ) / 4
LCM(180,5036) = 906480 / 4
LCM(180,5036) = 226620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2672/180, 9720/5036
1. What is the HCF of 2672,9720?
The HCF of 2672,9720 is 8
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 2672/180, 9720/5036?
Answer: GCF of Numerators as per given numbers 2672/180, 9720/5036 is
GCF of Numerators i.e. for 2672,9720 is 8
LCM of denominators i.e. for 180,5036 is 226620.
Thus, GCF of Fractions is 8/226620.Finally, GCF of Fractions for 2672/180, 9720/5036 is 8/226620.