GCF of 9477/499, 2566/3650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9477/499, 2566/3650 i.e 1/1821350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/499, 2566/3650.
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 9477/499,2566/3650?
Given fractions are 9477/499,2566/3650
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 9477/499,2566/3650, numerators are 9477,2566
Denominators are 499,3650
The GCF of 9477,2566 is 1 .
LCM of 499,3650 is 1821350.
The greatest common factor of 9477/499,2566/3650 = [GCF of 9477,2566]/[LCM of 499,3650]= 1/1821350
Therefore, the GCF of 9477/499,2566/3650 is 1/1821350.
To find the highest common factor of 9477,2566, we have to find the factors of both numbers and list the highest common factor.
The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477
The factors of 2566 are 1, 2, 1283, 2566
The HCF of 9477,2566 is 1.
Lets's calculate GCF of 9477,2566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9477,2566 By Matching Biggest Common Factor Method
Now, list down the factors of 9477
:1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Now, list down the factors of 2566
:1,2,1283,2566
Greatest Common Factor
We found the factors 9477,2566 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,2566 is 1.
Lets's calculate LCM of 499,3650
Given numbers has no common factors except 1. So, there LCM is their product i.e 1821350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1821350
Therefore, the GCF of Fractions 9477/499,2566/3650 is 1/1821350
Least Common Multiple of 499,3650 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 499,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,3650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,3650) x common factors =1 x 1 = 1
LCM(499,3650) = ( 499 × 3650 ) / 1
LCM(499,3650) = 1821350 / 1
LCM(499,3650) = 1821350
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FAQs on GCF of Fractions of 9477/499, 2566/3650
1. What is the HCF of 9477,2566?
The HCF of 9477,2566 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 9477/499, 2566/3650?
Answer: GCF of Numerators as per given numbers 9477/499, 2566/3650 is
GCF of Numerators i.e. for 9477,2566 is 1
LCM of denominators i.e. for 499,3650 is 1821350.
Thus, GCF of Fractions is 1/1821350.Finally, GCF of Fractions for 9477/499, 2566/3650 is 1/1821350.