GCF of 2549/772, 6575/2465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2549/772, 6575/2465 i.e 1/1902980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2549/772, 6575/2465.
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 2549/772,6575/2465?
Given fractions are 2549/772,6575/2465
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 2549/772,6575/2465, numerators are 2549,6575
Denominators are 772,2465
The GCF of 2549,6575 is 1 .
LCM of 772,2465 is 1902980.
The greatest common factor of 2549/772,6575/2465 = [GCF of 2549,6575]/[LCM of 772,2465]= 1/1902980
Therefore, the GCF of 2549/772,6575/2465 is 1/1902980.
To find the highest common factor of 2549,6575, we have to find the factors of both numbers and list the highest common factor.
The factors of 2549 are 1, 2549
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The HCF of 2549,6575 is 1.
Lets's calculate GCF of 2549,6575
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2549,6575 By Matching Biggest Common Factor Method
Now, list down the factors of 2549
:1,2549
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 2549,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 2549,6575 is 1.
Lets's calculate LCM of 772,2465
Given numbers has no common factors except 1. So, there LCM is their product i.e 1902980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1902980
Therefore, the GCF of Fractions 2549/772,6575/2465 is 1/1902980
Least Common Multiple of 772,2465 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 772,2465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,2465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,2465) x common factors =1 x 1 = 1
LCM(772,2465) = ( 772 × 2465 ) / 1
LCM(772,2465) = 1902980 / 1
LCM(772,2465) = 1902980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2549/772, 6575/2465
1. What is the HCF of 2549,6575?
The HCF of 2549,6575 is 1
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 2549/772, 6575/2465?
Answer: GCF of Numerators as per given numbers 2549/772, 6575/2465 is
GCF of Numerators i.e. for 2549,6575 is 1
LCM of denominators i.e. for 772,2465 is 1902980.
Thus, GCF of Fractions is 1/1902980.Finally, GCF of Fractions for 2549/772, 6575/2465 is 1/1902980.