GCF of 9610/695, 9747/6286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9610/695, 9747/6286 i.e 1/4368770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9610/695, 9747/6286.
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 9610/695,9747/6286?
Given fractions are 9610/695,9747/6286
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 9610/695,9747/6286, numerators are 9610,9747
Denominators are 695,6286
The GCF of 9610,9747 is 1 .
LCM of 695,6286 is 4368770.
The greatest common factor of 9610/695,9747/6286 = [GCF of 9610,9747]/[LCM of 695,6286]= 1/4368770
Therefore, the GCF of 9610/695,9747/6286 is 1/4368770.
To find the highest common factor of 9610,9747, we have to find the factors of both numbers and list the highest common factor.
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747
The HCF of 9610,9747 is 1.
Lets's calculate GCF of 9610,9747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9610,9747 By Matching Biggest Common Factor Method
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Now, list down the factors of 9747
:1,3,9,19,27,57,171,361,513,1083,3249,9747
Greatest Common Factor
We found the factors 9610,9747 . The biggest common factor number is the GCF number.
So the greatest common factor 9610,9747 is 1.
Lets's calculate LCM of 695,6286
Given numbers has no common factors except 1. So, there LCM is their product i.e 4368770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4368770
Therefore, the GCF of Fractions 9610/695,9747/6286 is 1/4368770
Least Common Multiple of 695,6286 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 695,6286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,6286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,6286) x common factors =1 x 1 = 1
LCM(695,6286) = ( 695 × 6286 ) / 1
LCM(695,6286) = 4368770 / 1
LCM(695,6286) = 4368770
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FAQs on GCF of Fractions of 9610/695, 9747/6286
1. What is the HCF of 9610,9747?
The HCF of 9610,9747 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 9610/695, 9747/6286?
Answer: GCF of Numerators as per given numbers 9610/695, 9747/6286 is
GCF of Numerators i.e. for 9610,9747 is 1
LCM of denominators i.e. for 695,6286 is 4368770.
Thus, GCF of Fractions is 1/4368770.Finally, GCF of Fractions for 9610/695, 9747/6286 is 1/4368770.