GCF of 3651/565, 8175/9257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3651/565, 8175/9257 i.e 3/5230205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3651/565, 8175/9257.
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 3651/565,8175/9257?
Given fractions are 3651/565,8175/9257
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 3651/565,8175/9257, numerators are 3651,8175
Denominators are 565,9257
The GCF of 3651,8175 is 3 .
LCM of 565,9257 is 5230205.
The greatest common factor of 3651/565,8175/9257 = [GCF of 3651,8175]/[LCM of 565,9257]= 3/5230205
Therefore, the GCF of 3651/565,8175/9257 is 3/5230205.
To find the highest common factor of 3651,8175, we have to find the factors of both numbers and list the highest common factor.
The factors of 3651 are 1, 3, 1217, 3651
The factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175
The HCF of 3651,8175 is 3.
Lets's calculate GCF of 3651,8175
| 3 | 3651, 8175 |
| 1217, 2725 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3651,8175 By Matching Biggest Common Factor Method
Now, list down the factors of 3651
:1,3,1217,3651
Now, list down the factors of 8175
:1,3,5,15,25,75,109,327,545,1635,2725,8175
Greatest Common Factor
We found the factors 3651,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 3651,8175 is 3.
Lets's calculate LCM of 565,9257
Given numbers has no common factors except 1. So, there LCM is their product i.e 5230205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5230205
Therefore, the GCF of Fractions 3651/565,8175/9257 is 3/5230205
Least Common Multiple of 565,9257 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 565,9257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,9257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,9257) x common factors =1 x 1 = 1
LCM(565,9257) = ( 565 × 9257 ) / 1
LCM(565,9257) = 5230205 / 1
LCM(565,9257) = 5230205
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FAQs on GCF of Fractions of 3651/565, 8175/9257
1. What is the HCF of 3651,8175?
The HCF of 3651,8175 is 3
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 3651/565, 8175/9257?
Answer: GCF of Numerators as per given numbers 3651/565, 8175/9257 is
GCF of Numerators i.e. for 3651,8175 is 3
LCM of denominators i.e. for 565,9257 is 5230205.
Thus, GCF of Fractions is 3/5230205.Finally, GCF of Fractions for 3651/565, 8175/9257 is 3/5230205.