GCF of 5417/729, 9670/5635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5417/729, 9670/5635 i.e 1/4107915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5417/729, 9670/5635.
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 5417/729,9670/5635?
Given fractions are 5417/729,9670/5635
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 5417/729,9670/5635, numerators are 5417,9670
Denominators are 729,5635
The GCF of 5417,9670 is 1 .
LCM of 729,5635 is 4107915.
The greatest common factor of 5417/729,9670/5635 = [GCF of 5417,9670]/[LCM of 729,5635]= 1/4107915
Therefore, the GCF of 5417/729,9670/5635 is 1/4107915.
To find the highest common factor of 5417,9670, we have to find the factors of both numbers and list the highest common factor.
The factors of 5417 are 1, 5417
The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670
The HCF of 5417,9670 is 1.
Lets's calculate GCF of 5417,9670
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5417,9670 By Matching Biggest Common Factor Method
Now, list down the factors of 5417
:1,5417
Now, list down the factors of 9670
:1,2,5,10,967,1934,4835,9670
Greatest Common Factor
We found the factors 5417,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 5417,9670 is 1.
Lets's calculate LCM of 729,5635
Given numbers has no common factors except 1. So, there LCM is their product i.e 4107915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4107915
Therefore, the GCF of Fractions 5417/729,9670/5635 is 1/4107915
Least Common Multiple of 729,5635 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 729,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,5635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,5635) x common factors =1 x 1 = 1
LCM(729,5635) = ( 729 × 5635 ) / 1
LCM(729,5635) = 4107915 / 1
LCM(729,5635) = 4107915
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FAQs on GCF of Fractions of 5417/729, 9670/5635
1. What is the HCF of 5417,9670?
The HCF of 5417,9670 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 5417/729, 9670/5635?
Answer: GCF of Numerators as per given numbers 5417/729, 9670/5635 is
GCF of Numerators i.e. for 5417,9670 is 1
LCM of denominators i.e. for 729,5635 is 4107915.
Thus, GCF of Fractions is 1/4107915.Finally, GCF of Fractions for 5417/729, 9670/5635 is 1/4107915.