GCF of 2523/911, 1260/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2523/911, 1260/687 i.e 3/625857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2523/911, 1260/687.
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 2523/911,1260/687?
Given fractions are 2523/911,1260/687
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 2523/911,1260/687, numerators are 2523,1260
Denominators are 911,687
The GCF of 2523,1260 is 3 .
LCM of 911,687 is 625857.
The greatest common factor of 2523/911,1260/687 = [GCF of 2523,1260]/[LCM of 911,687]= 3/625857
Therefore, the GCF of 2523/911,1260/687 is 3/625857.
To find the highest common factor of 2523,1260, we have to find the factors of both numbers and list the highest common factor.
The factors of 2523 are 1, 3, 29, 87, 841, 2523
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The HCF of 2523,1260 is 3.
Lets's calculate GCF of 2523,1260
| 3 | 2523, 1260 |
| 841, 420 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2523,1260 By Matching Biggest Common Factor Method
Now, list down the factors of 2523
:1,3,29,87,841,2523
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 2523,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 2523,1260 is 3.
Lets's calculate LCM of 911,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 625857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/625857
Therefore, the GCF of Fractions 2523/911,1260/687 is 3/625857
Least Common Multiple of 911,687 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 911,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,687) x common factors =1 x 1 = 1
LCM(911,687) = ( 911 × 687 ) / 1
LCM(911,687) = 625857 / 1
LCM(911,687) = 625857
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2523/911, 1260/687
1. What is the HCF of 2523,1260?
The HCF of 2523,1260 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 2523/911, 1260/687?
Answer: GCF of Numerators as per given numbers 2523/911, 1260/687 is
GCF of Numerators i.e. for 2523,1260 is 3
LCM of denominators i.e. for 911,687 is 625857.
Thus, GCF of Fractions is 3/625857.Finally, GCF of Fractions for 2523/911, 1260/687 is 3/625857.