GCF of 2507/965, 6619/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2507/965, 6619/9753 i.e 1/9411645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2507/965, 6619/9753.
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 2507/965,6619/9753?
Given fractions are 2507/965,6619/9753
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 2507/965,6619/9753, numerators are 2507,6619
Denominators are 965,9753
The GCF of 2507,6619 is 1 .
LCM of 965,9753 is 9411645.
The greatest common factor of 2507/965,6619/9753 = [GCF of 2507,6619]/[LCM of 965,9753]= 1/9411645
Therefore, the GCF of 2507/965,6619/9753 is 1/9411645.
To find the highest common factor of 2507,6619, we have to find the factors of both numbers and list the highest common factor.
The factors of 2507 are 1, 23, 109, 2507
The factors of 6619 are 1, 6619
The HCF of 2507,6619 is 1.
Lets's calculate GCF of 2507,6619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2507,6619 By Matching Biggest Common Factor Method
Now, list down the factors of 2507
:1,23,109,2507
Now, list down the factors of 6619
:1,6619
Greatest Common Factor
We found the factors 2507,6619 . The biggest common factor number is the GCF number.
So the greatest common factor 2507,6619 is 1.
Lets's calculate LCM of 965,9753
Given numbers has no common factors except 1. So, there LCM is their product i.e 9411645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9411645
Therefore, the GCF of Fractions 2507/965,6619/9753 is 1/9411645
Least Common Multiple of 965,9753 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 965,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,9753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,9753) x common factors =1 x 1 = 1
LCM(965,9753) = ( 965 × 9753 ) / 1
LCM(965,9753) = 9411645 / 1
LCM(965,9753) = 9411645
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FAQs on GCF of Fractions of 2507/965, 6619/9753
1. What is the HCF of 2507,6619?
The HCF of 2507,6619 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 2507/965, 6619/9753?
Answer: GCF of Numerators as per given numbers 2507/965, 6619/9753 is
GCF of Numerators i.e. for 2507,6619 is 1
LCM of denominators i.e. for 965,9753 is 9411645.
Thus, GCF of Fractions is 1/9411645.Finally, GCF of Fractions for 2507/965, 6619/9753 is 1/9411645.