GCF of 661/87, 297/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 661/87, 297/414 i.e 1/12006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/87, 297/414.
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 661/87,297/414?
Given fractions are 661/87,297/414
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 661/87,297/414, numerators are 661,297
Denominators are 87,414
The GCF of 661,297 is 1 .
LCM of 87,414 is 12006.
The greatest common factor of 661/87,297/414 = [GCF of 661,297]/[LCM of 87,414]= 1/12006
Therefore, the GCF of 661/87,297/414 is 1/12006.
To find the highest common factor of 661,297, 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 297 are 1, 3, 9, 11, 27, 33, 99, 297
The HCF of 661,297 is 1.
Lets's calculate GCF of 661,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 661,297 By Matching Biggest Common Factor Method
Now, list down the factors of 661
:1,661
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 661,297 . The biggest common factor number is the GCF number.
So the greatest common factor 661,297 is 1.
Lets's calculate LCM of 87,414
| 3 | 87, 414 |
| 29, 138 |
∴ So the LCM of the given numbers is 3 x 29 x 138 = 12006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12006
Therefore, the GCF of Fractions 661/87,297/414 is 1/12006
Least Common Multiple of 87,414 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 87,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,414) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,414) x common factors =3 x 1 = 3
LCM(87,414) = ( 87 × 414 ) / 3
LCM(87,414) = 36018 / 3
LCM(87,414) = 12006
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FAQs on GCF of Fractions of 661/87, 297/414
1. What is the HCF of 661,297?
The HCF of 661,297 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 661/87, 297/414?
Answer: GCF of Numerators as per given numbers 661/87, 297/414 is
GCF of Numerators i.e. for 661,297 is 1
LCM of denominators i.e. for 87,414 is 12006.
Thus, GCF of Fractions is 1/12006.Finally, GCF of Fractions for 661/87, 297/414 is 1/12006.