GCF of 9817/624, 6572/2525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9817/624, 6572/2525 i.e 1/1575600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9817/624, 6572/2525.
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 9817/624,6572/2525?
Given fractions are 9817/624,6572/2525
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 9817/624,6572/2525, numerators are 9817,6572
Denominators are 624,2525
The GCF of 9817,6572 is 1 .
LCM of 624,2525 is 1575600.
The greatest common factor of 9817/624,6572/2525 = [GCF of 9817,6572]/[LCM of 624,2525]= 1/1575600
Therefore, the GCF of 9817/624,6572/2525 is 1/1575600.
To find the highest common factor of 9817,6572, we have to find the factors of both numbers and list the highest common factor.
The factors of 9817 are 1, 9817
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The HCF of 9817,6572 is 1.
Lets's calculate GCF of 9817,6572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9817,6572 By Matching Biggest Common Factor Method
Now, list down the factors of 9817
:1,9817
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Greatest Common Factor
We found the factors 9817,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 9817,6572 is 1.
Lets's calculate LCM of 624,2525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1575600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1575600
Therefore, the GCF of Fractions 9817/624,6572/2525 is 1/1575600
Least Common Multiple of 624,2525 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 624,2525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2525) x common factors =1 x 1 = 1
LCM(624,2525) = ( 624 × 2525 ) / 1
LCM(624,2525) = 1575600 / 1
LCM(624,2525) = 1575600
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FAQs on GCF of Fractions of 9817/624, 6572/2525
1. What is the HCF of 9817,6572?
The HCF of 9817,6572 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 9817/624, 6572/2525?
Answer: GCF of Numerators as per given numbers 9817/624, 6572/2525 is
GCF of Numerators i.e. for 9817,6572 is 1
LCM of denominators i.e. for 624,2525 is 1575600.
Thus, GCF of Fractions is 1/1575600.Finally, GCF of Fractions for 9817/624, 6572/2525 is 1/1575600.