GCF of 9930/876, 9497/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9930/876, 9497/695 i.e 1/608820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9930/876, 9497/695.
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 9930/876,9497/695?
Given fractions are 9930/876,9497/695
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 9930/876,9497/695, numerators are 9930,9497
Denominators are 876,695
The GCF of 9930,9497 is 1 .
LCM of 876,695 is 608820.
The greatest common factor of 9930/876,9497/695 = [GCF of 9930,9497]/[LCM of 876,695]= 1/608820
Therefore, the GCF of 9930/876,9497/695 is 1/608820.
To find the highest common factor of 9930,9497, we have to find the factors of both numbers and list the highest common factor.
The factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930
The factors of 9497 are 1, 9497
The HCF of 9930,9497 is 1.
Lets's calculate GCF of 9930,9497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9930,9497 By Matching Biggest Common Factor Method
Now, list down the factors of 9930
:1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930
Now, list down the factors of 9497
:1,9497
Greatest Common Factor
We found the factors 9930,9497 . The biggest common factor number is the GCF number.
So the greatest common factor 9930,9497 is 1.
Lets's calculate LCM of 876,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 608820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608820
Therefore, the GCF of Fractions 9930/876,9497/695 is 1/608820
Least Common Multiple of 876,695 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 876,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(876,695) x common factors =1 x 1 = 1
LCM(876,695) = ( 876 × 695 ) / 1
LCM(876,695) = 608820 / 1
LCM(876,695) = 608820
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9930/876, 9497/695
1. What is the HCF of 9930,9497?
The HCF of 9930,9497 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 9930/876, 9497/695?
Answer: GCF of Numerators as per given numbers 9930/876, 9497/695 is
GCF of Numerators i.e. for 9930,9497 is 1
LCM of denominators i.e. for 876,695 is 608820.
Thus, GCF of Fractions is 1/608820.Finally, GCF of Fractions for 9930/876, 9497/695 is 1/608820.