GCF of 5565/996, 7395/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5565/996, 7395/409 i.e 15/407364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5565/996, 7395/409.
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 5565/996,7395/409?
Given fractions are 5565/996,7395/409
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 5565/996,7395/409, numerators are 5565,7395
Denominators are 996,409
The GCF of 5565,7395 is 15 .
LCM of 996,409 is 407364.
The greatest common factor of 5565/996,7395/409 = [GCF of 5565,7395]/[LCM of 996,409]= 15/407364
Therefore, the GCF of 5565/996,7395/409 is 15/407364.
To find the highest common factor of 5565,7395, we have to find the factors of both numbers and list the highest common factor.
The factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565
The factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395
The HCF of 5565,7395 is 15.
Lets's calculate GCF of 5565,7395
| 3 | 5565, 7395 |
| 5 | 1855, 2465 |
| 371, 493 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5565,7395 By Matching Biggest Common Factor Method
Now, list down the factors of 5565
:1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565
Now, list down the factors of 7395
:1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Greatest Common Factor
We found the factors 5565,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 5565,7395 is 15.
Lets's calculate LCM of 996,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 407364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/407364
Therefore, the GCF of Fractions 5565/996,7395/409 is 15/407364
Least Common Multiple of 996,409 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 996,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,409) x common factors =1 x 1 = 1
LCM(996,409) = ( 996 × 409 ) / 1
LCM(996,409) = 407364 / 1
LCM(996,409) = 407364
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FAQs on GCF of Fractions of 5565/996, 7395/409
1. What is the HCF of 5565,7395?
The HCF of 5565,7395 is 15
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 5565/996, 7395/409?
Answer: GCF of Numerators as per given numbers 5565/996, 7395/409 is
GCF of Numerators i.e. for 5565,7395 is 15
LCM of denominators i.e. for 996,409 is 407364.
Thus, GCF of Fractions is 15/407364.Finally, GCF of Fractions for 5565/996, 7395/409 is 15/407364.