GCF of 724/764, 6265/2391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 724/764, 6265/2391 i.e 1/1826724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/764, 6265/2391.
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 724/764,6265/2391?
Given fractions are 724/764,6265/2391
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 724/764,6265/2391, numerators are 724,6265
Denominators are 764,2391
The GCF of 724,6265 is 1 .
LCM of 764,2391 is 1826724.
The greatest common factor of 724/764,6265/2391 = [GCF of 724,6265]/[LCM of 764,2391]= 1/1826724
Therefore, the GCF of 724/764,6265/2391 is 1/1826724.
To find the highest common factor of 724,6265, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265
The HCF of 724,6265 is 1.
Lets's calculate GCF of 724,6265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 724,6265 By Matching Biggest Common Factor Method
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 6265
:1,5,7,35,179,895,1253,6265
Greatest Common Factor
We found the factors 724,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 724,6265 is 1.
Lets's calculate LCM of 764,2391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1826724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1826724
Therefore, the GCF of Fractions 724/764,6265/2391 is 1/1826724
Least Common Multiple of 764,2391 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 764,2391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,2391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,2391) x common factors =1 x 1 = 1
LCM(764,2391) = ( 764 × 2391 ) / 1
LCM(764,2391) = 1826724 / 1
LCM(764,2391) = 1826724
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FAQs on GCF of Fractions of 724/764, 6265/2391
1. What is the HCF of 724,6265?
The HCF of 724,6265 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 724/764, 6265/2391?
Answer: GCF of Numerators as per given numbers 724/764, 6265/2391 is
GCF of Numerators i.e. for 724,6265 is 1
LCM of denominators i.e. for 764,2391 is 1826724.
Thus, GCF of Fractions is 1/1826724.Finally, GCF of Fractions for 724/764, 6265/2391 is 1/1826724.