GCF of 2079/756, 6240/180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2079/756, 6240/180 i.e 3/3780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2079/756, 6240/180.
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 2079/756,6240/180?
Given fractions are 2079/756,6240/180
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 2079/756,6240/180, numerators are 2079,6240
Denominators are 756,180
The GCF of 2079,6240 is 3 .
LCM of 756,180 is 3780.
The greatest common factor of 2079/756,6240/180 = [GCF of 2079,6240]/[LCM of 756,180]= 3/3780
Therefore, the GCF of 2079/756,6240/180 is 3/3780.
To find the highest common factor of 2079,6240, we have to find the factors of both numbers and list the highest common factor.
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240
The HCF of 2079,6240 is 3.
Lets's calculate GCF of 2079,6240
| 3 | 2079, 6240 |
| 693, 2080 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2079,6240 By Matching Biggest Common Factor Method
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Now, list down the factors of 6240
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240
Greatest Common Factor
We found the factors 2079,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 2079,6240 is 3.
Lets's calculate LCM of 756,180
| 2 | 756, 180 |
| 2 | 378, 90 |
| 3 | 189, 45 |
| 3 | 63, 15 |
| 21, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 21 x 5 = 3780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3780
Therefore, the GCF of Fractions 2079/756,6240/180 is 3/3780
Least Common Multiple of 756,180 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 756,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,180) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(756,180) x common factors =36 x 1 = 36
LCM(756,180) = ( 756 × 180 ) / 36
LCM(756,180) = 136080 / 36
LCM(756,180) = 3780
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2079/756, 6240/180
1. What is the HCF of 2079,6240?
The HCF of 2079,6240 is 3
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 2079/756, 6240/180?
Answer: GCF of Numerators as per given numbers 2079/756, 6240/180 is
GCF of Numerators i.e. for 2079,6240 is 3
LCM of denominators i.e. for 756,180 is 3780.
Thus, GCF of Fractions is 3/3780.Finally, GCF of Fractions for 2079/756, 6240/180 is 3/3780.