GCF of 6946/187, 1661/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6946/187, 1661/466 i.e 151/87142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6946/187, 1661/466.
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 6946/187,1661/466?
Given fractions are 6946/187,1661/466
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 6946/187,1661/466, numerators are 6946,1661
Denominators are 187,466
The GCF of 6946,1661 is 151 .
LCM of 187,466 is 87142.
The greatest common factor of 6946/187,1661/466 = [GCF of 6946,1661]/[LCM of 187,466]= 151/87142
Therefore, the GCF of 6946/187,1661/466 is 151/87142.
To find the highest common factor of 6946,1661, we have to find the factors of both numbers and list the highest common factor.
The factors of 6946 are 1, 2, 23, 46, 151, 302, 3473, 6946
The factors of 1661 are 1, 11, 151, 1661
The HCF of 6946,1661 is 151.
Lets's calculate GCF of 6946,1661
| 151 | 6946, 1661 |
| 46, 11 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 6946,1661 By Matching Biggest Common Factor Method
Now, list down the factors of 6946
:1,2,23,46,151,302,3473,6946
Now, list down the factors of 1661
:1,11,151,1661
Greatest Common Factor
We found the factors 6946,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 6946,1661 is 151.
Lets's calculate LCM of 187,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 87142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/87142
Therefore, the GCF of Fractions 6946/187,1661/466 is 151/87142
Least Common Multiple of 187,466 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 187,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,466) x common factors =1 x 1 = 1
LCM(187,466) = ( 187 × 466 ) / 1
LCM(187,466) = 87142 / 1
LCM(187,466) = 87142
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6946/187, 1661/466
1. What is the HCF of 6946,1661?
The HCF of 6946,1661 is 151
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 6946/187, 1661/466?
Answer: GCF of Numerators as per given numbers 6946/187, 1661/466 is
GCF of Numerators i.e. for 6946,1661 is 151
LCM of denominators i.e. for 187,466 is 87142.
Thus, GCF of Fractions is 151/87142.Finally, GCF of Fractions for 6946/187, 1661/466 is 151/87142.