GCF of 1880/893, 1740/7331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1880/893, 1740/7331 i.e 20/6546583 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1880/893, 1740/7331.
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 1880/893,1740/7331?
Given fractions are 1880/893,1740/7331
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 1880/893,1740/7331, numerators are 1880,1740
Denominators are 893,7331
The GCF of 1880,1740 is 20 .
LCM of 893,7331 is 6546583.
The greatest common factor of 1880/893,1740/7331 = [GCF of 1880,1740]/[LCM of 893,7331]= 20/6546583
Therefore, the GCF of 1880/893,1740/7331 is 20/6546583.
To find the highest common factor of 1880,1740, we have to find the factors of both numbers and list the highest common factor.
The factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880
The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
The HCF of 1880,1740 is 20.
Lets's calculate GCF of 1880,1740
| 2 | 1880, 1740 |
| 2 | 940, 870 |
| 5 | 470, 435 |
| 94, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1880,1740 By Matching Biggest Common Factor Method
Now, list down the factors of 1880
:1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880
Now, list down the factors of 1740
:1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Greatest Common Factor
We found the factors 1880,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,1740 is 20.
Lets's calculate LCM of 893,7331
Given numbers has no common factors except 1. So, there LCM is their product i.e 6546583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/6546583
Therefore, the GCF of Fractions 1880/893,1740/7331 is 20/6546583
Least Common Multiple of 893,7331 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 893,7331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,7331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,7331) x common factors =1 x 1 = 1
LCM(893,7331) = ( 893 × 7331 ) / 1
LCM(893,7331) = 6546583 / 1
LCM(893,7331) = 6546583
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1880/893, 1740/7331
1. What is the HCF of 1880,1740?
The HCF of 1880,1740 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 1880/893, 1740/7331?
Answer: GCF of Numerators as per given numbers 1880/893, 1740/7331 is
GCF of Numerators i.e. for 1880,1740 is 20
LCM of denominators i.e. for 893,7331 is 6546583.
Thus, GCF of Fractions is 20/6546583.Finally, GCF of Fractions for 1880/893, 1740/7331 is 20/6546583.