GCF of 6540/874, 1820/7895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6540/874, 1820/7895 i.e 20/6900230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6540/874, 1820/7895.
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 6540/874,1820/7895?
Given fractions are 6540/874,1820/7895
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 6540/874,1820/7895, numerators are 6540,1820
Denominators are 874,7895
The GCF of 6540,1820 is 20 .
LCM of 874,7895 is 6900230.
The greatest common factor of 6540/874,1820/7895 = [GCF of 6540,1820]/[LCM of 874,7895]= 20/6900230
Therefore, the GCF of 6540/874,1820/7895 is 20/6900230.
To find the highest common factor of 6540,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 6540,1820 is 20.
Lets's calculate GCF of 6540,1820
| 2 | 6540, 1820 |
| 2 | 3270, 910 |
| 5 | 1635, 455 |
| 327, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 6540,1820 By Matching Biggest Common Factor Method
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 6540,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 6540,1820 is 20.
Lets's calculate LCM of 874,7895
Given numbers has no common factors except 1. So, there LCM is their product i.e 6900230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/6900230
Therefore, the GCF of Fractions 6540/874,1820/7895 is 20/6900230
Least Common Multiple of 874,7895 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 874,7895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,7895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,7895) x common factors =1 x 1 = 1
LCM(874,7895) = ( 874 × 7895 ) / 1
LCM(874,7895) = 6900230 / 1
LCM(874,7895) = 6900230
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6540/874, 1820/7895
1. What is the HCF of 6540,1820?
The HCF of 6540,1820 is 20
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 6540/874, 1820/7895?
Answer: GCF of Numerators as per given numbers 6540/874, 1820/7895 is
GCF of Numerators i.e. for 6540,1820 is 20
LCM of denominators i.e. for 874,7895 is 6900230.
Thus, GCF of Fractions is 20/6900230.Finally, GCF of Fractions for 6540/874, 1820/7895 is 20/6900230.