GCF of 3665/402, 9197/707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3665/402, 9197/707 i.e 1/284214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3665/402, 9197/707.
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 3665/402,9197/707?
Given fractions are 3665/402,9197/707
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 3665/402,9197/707, numerators are 3665,9197
Denominators are 402,707
The GCF of 3665,9197 is 1 .
LCM of 402,707 is 284214.
The greatest common factor of 3665/402,9197/707 = [GCF of 3665,9197]/[LCM of 402,707]= 1/284214
Therefore, the GCF of 3665/402,9197/707 is 1/284214.
To find the highest common factor of 3665,9197, we have to find the factors of both numbers and list the highest common factor.
The factors of 3665 are 1, 5, 733, 3665
The factors of 9197 are 1, 17, 541, 9197
The HCF of 3665,9197 is 1.
Lets's calculate GCF of 3665,9197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3665,9197 By Matching Biggest Common Factor Method
Now, list down the factors of 3665
:1,5,733,3665
Now, list down the factors of 9197
:1,17,541,9197
Greatest Common Factor
We found the factors 3665,9197 . The biggest common factor number is the GCF number.
So the greatest common factor 3665,9197 is 1.
Lets's calculate LCM of 402,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 284214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284214
Therefore, the GCF of Fractions 3665/402,9197/707 is 1/284214
Least Common Multiple of 402,707 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 402,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,707) x common factors =1 x 1 = 1
LCM(402,707) = ( 402 × 707 ) / 1
LCM(402,707) = 284214 / 1
LCM(402,707) = 284214
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FAQs on GCF of Fractions of 3665/402, 9197/707
1. What is the HCF of 3665,9197?
The HCF of 3665,9197 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 3665/402, 9197/707?
Answer: GCF of Numerators as per given numbers 3665/402, 9197/707 is
GCF of Numerators i.e. for 3665,9197 is 1
LCM of denominators i.e. for 402,707 is 284214.
Thus, GCF of Fractions is 1/284214.Finally, GCF of Fractions for 3665/402, 9197/707 is 1/284214.