GCF of 6424/202, 9529/1165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6424/202, 9529/1165 i.e 1/235330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6424/202, 9529/1165.
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 6424/202,9529/1165?
Given fractions are 6424/202,9529/1165
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 6424/202,9529/1165, numerators are 6424,9529
Denominators are 202,1165
The GCF of 6424,9529 is 1 .
LCM of 202,1165 is 235330.
The greatest common factor of 6424/202,9529/1165 = [GCF of 6424,9529]/[LCM of 202,1165]= 1/235330
Therefore, the GCF of 6424/202,9529/1165 is 1/235330.
To find the highest common factor of 6424,9529, we have to find the factors of both numbers and list the highest common factor.
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The factors of 9529 are 1, 13, 733, 9529
The HCF of 6424,9529 is 1.
Lets's calculate GCF of 6424,9529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6424,9529 By Matching Biggest Common Factor Method
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Now, list down the factors of 9529
:1,13,733,9529
Greatest Common Factor
We found the factors 6424,9529 . The biggest common factor number is the GCF number.
So the greatest common factor 6424,9529 is 1.
Lets's calculate LCM of 202,1165
Given numbers has no common factors except 1. So, there LCM is their product i.e 235330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235330
Therefore, the GCF of Fractions 6424/202,9529/1165 is 1/235330
Least Common Multiple of 202,1165 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 202,1165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,1165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,1165) x common factors =1 x 1 = 1
LCM(202,1165) = ( 202 × 1165 ) / 1
LCM(202,1165) = 235330 / 1
LCM(202,1165) = 235330
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FAQs on GCF of Fractions of 6424/202, 9529/1165
1. What is the HCF of 6424,9529?
The HCF of 6424,9529 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 6424/202, 9529/1165?
Answer: GCF of Numerators as per given numbers 6424/202, 9529/1165 is
GCF of Numerators i.e. for 6424,9529 is 1
LCM of denominators i.e. for 202,1165 is 235330.
Thus, GCF of Fractions is 1/235330.Finally, GCF of Fractions for 6424/202, 9529/1165 is 1/235330.