GCF of 1661/696, 9603/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1661/696, 9603/523 i.e 11/364008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1661/696, 9603/523.
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 1661/696,9603/523?
Given fractions are 1661/696,9603/523
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 1661/696,9603/523, numerators are 1661,9603
Denominators are 696,523
The GCF of 1661,9603 is 11 .
LCM of 696,523 is 364008.
The greatest common factor of 1661/696,9603/523 = [GCF of 1661,9603]/[LCM of 696,523]= 11/364008
Therefore, the GCF of 1661/696,9603/523 is 11/364008.
To find the highest common factor of 1661,9603, we have to find the factors of both numbers and list the highest common factor.
The factors of 1661 are 1, 11, 151, 1661
The factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603
The HCF of 1661,9603 is 11.
Lets's calculate GCF of 1661,9603
| 11 | 1661, 9603 |
| 151, 873 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1661,9603 By Matching Biggest Common Factor Method
Now, list down the factors of 1661
:1,11,151,1661
Now, list down the factors of 9603
:1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors 1661,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 1661,9603 is 11.
Lets's calculate LCM of 696,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 364008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/364008
Therefore, the GCF of Fractions 1661/696,9603/523 is 11/364008
Least Common Multiple of 696,523 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 696,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,523) x common factors =1 x 1 = 1
LCM(696,523) = ( 696 × 523 ) / 1
LCM(696,523) = 364008 / 1
LCM(696,523) = 364008
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1661/696, 9603/523
1. What is the HCF of 1661,9603?
The HCF of 1661,9603 is 11
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 1661/696, 9603/523?
Answer: GCF of Numerators as per given numbers 1661/696, 9603/523 is
GCF of Numerators i.e. for 1661,9603 is 11
LCM of denominators i.e. for 696,523 is 364008.
Thus, GCF of Fractions is 11/364008.Finally, GCF of Fractions for 1661/696, 9603/523 is 11/364008.