GCF of 661/97, 661/232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 661/97, 661/232 i.e 661/22504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/97, 661/232.
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 661/97,661/232?
Given fractions are 661/97,661/232
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 661/97,661/232, numerators are 661,661
Denominators are 97,232
The GCF of 661,661 is 661 .
LCM of 97,232 is 22504.
The greatest common factor of 661/97,661/232 = [GCF of 661,661]/[LCM of 97,232]= 661/22504
Therefore, the GCF of 661/97,661/232 is 661/22504.
To find the highest common factor of 661,661, we have to find the factors of both numbers and list the highest common factor.
The factors of 661 are 1, 661
The factors of 661 are 1, 661
The HCF of 661,661 is 661.
Lets's calculate GCF of 661,661
| 661 | 661, 661 |
| 1, 1 |
∴ So the GCF of the given numbers is 661 = 661
Greatest Common Factor of 661,661 By Matching Biggest Common Factor Method
Now, list down the factors of 661
:1,661
Now, list down the factors of 661
:1,661
Greatest Common Factor
We found the factors 661,661 . The biggest common factor number is the GCF number.
So the greatest common factor 661,661 is 661.
Lets's calculate LCM of 97,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 22504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 661/22504
Therefore, the GCF of Fractions 661/97,661/232 is 661/22504
Least Common Multiple of 97,232 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 97,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,232) x common factors =1 x 1 = 1
LCM(97,232) = ( 97 × 232 ) / 1
LCM(97,232) = 22504 / 1
LCM(97,232) = 22504
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FAQs on GCF of Fractions of 661/97, 661/232
1. What is the HCF of 661,661?
The HCF of 661,661 is 661
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 661/97, 661/232?
Answer: GCF of Numerators as per given numbers 661/97, 661/232 is
GCF of Numerators i.e. for 661,661 is 661
LCM of denominators i.e. for 97,232 is 22504.
Thus, GCF of Fractions is 661/22504.Finally, GCF of Fractions for 661/97, 661/232 is 661/22504.