GCF of 1922/865, 2759/4020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1922/865, 2759/4020 i.e 31/695460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1922/865, 2759/4020.
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 1922/865,2759/4020?
Given fractions are 1922/865,2759/4020
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 1922/865,2759/4020, numerators are 1922,2759
Denominators are 865,4020
The GCF of 1922,2759 is 31 .
LCM of 865,4020 is 695460.
The greatest common factor of 1922/865,2759/4020 = [GCF of 1922,2759]/[LCM of 865,4020]= 31/695460
Therefore, the GCF of 1922/865,2759/4020 is 31/695460.
To find the highest common factor of 1922,2759, we have to find the factors of both numbers and list the highest common factor.
The factors of 1922 are 1, 2, 31, 62, 961, 1922
The factors of 2759 are 1, 31, 89, 2759
The HCF of 1922,2759 is 31.
Lets's calculate GCF of 1922,2759
| 31 | 1922, 2759 |
| 62, 89 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1922,2759 By Matching Biggest Common Factor Method
Now, list down the factors of 1922
:1,2,31,62,961,1922
Now, list down the factors of 2759
:1,31,89,2759
Greatest Common Factor
We found the factors 1922,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 1922,2759 is 31.
Lets's calculate LCM of 865,4020
| 5 | 865, 4020 |
| 173, 804 |
∴ So the LCM of the given numbers is 5 x 173 x 804 = 695460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/695460
Therefore, the GCF of Fractions 1922/865,2759/4020 is 31/695460
Least Common Multiple of 865,4020 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 865,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,4020) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,4020) x common factors =5 x 1 = 5
LCM(865,4020) = ( 865 × 4020 ) / 5
LCM(865,4020) = 3477300 / 5
LCM(865,4020) = 695460
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1922/865, 2759/4020
1. What is the HCF of 1922,2759?
The HCF of 1922,2759 is 31
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 1922/865, 2759/4020?
Answer: GCF of Numerators as per given numbers 1922/865, 2759/4020 is
GCF of Numerators i.e. for 1922,2759 is 31
LCM of denominators i.e. for 865,4020 is 695460.
Thus, GCF of Fractions is 31/695460.Finally, GCF of Fractions for 1922/865, 2759/4020 is 31/695460.