GCF of 4415/742, 1569/9347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4415/742, 1569/9347 i.e 1/6935474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4415/742, 1569/9347.
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 4415/742,1569/9347?
Given fractions are 4415/742,1569/9347
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 4415/742,1569/9347, numerators are 4415,1569
Denominators are 742,9347
The GCF of 4415,1569 is 1 .
LCM of 742,9347 is 6935474.
The greatest common factor of 4415/742,1569/9347 = [GCF of 4415,1569]/[LCM of 742,9347]= 1/6935474
Therefore, the GCF of 4415/742,1569/9347 is 1/6935474.
To find the highest common factor of 4415,1569, we have to find the factors of both numbers and list the highest common factor.
The factors of 4415 are 1, 5, 883, 4415
The factors of 1569 are 1, 3, 523, 1569
The HCF of 4415,1569 is 1.
Lets's calculate GCF of 4415,1569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4415,1569 By Matching Biggest Common Factor Method
Now, list down the factors of 4415
:1,5,883,4415
Now, list down the factors of 1569
:1,3,523,1569
Greatest Common Factor
We found the factors 4415,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 4415,1569 is 1.
Lets's calculate LCM of 742,9347
Given numbers has no common factors except 1. So, there LCM is their product i.e 6935474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6935474
Therefore, the GCF of Fractions 4415/742,1569/9347 is 1/6935474
Least Common Multiple of 742,9347 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 742,9347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9347) x common factors =1 x 1 = 1
LCM(742,9347) = ( 742 × 9347 ) / 1
LCM(742,9347) = 6935474 / 1
LCM(742,9347) = 6935474
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FAQs on GCF of Fractions of 4415/742, 1569/9347
1. What is the HCF of 4415,1569?
The HCF of 4415,1569 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 4415/742, 1569/9347?
Answer: GCF of Numerators as per given numbers 4415/742, 1569/9347 is
GCF of Numerators i.e. for 4415,1569 is 1
LCM of denominators i.e. for 742,9347 is 6935474.
Thus, GCF of Fractions is 1/6935474.Finally, GCF of Fractions for 4415/742, 1569/9347 is 1/6935474.