GCF of 91/414, 196/478, 161/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/414, 196/478, 161/660 i.e 7/10884060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/414, 196/478, 161/660.
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 91/414,196/478,161/660?
Given fractions are 91/414,196/478,161/660
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 91/414,196/478,161/660, numerators are 91,196,161
Denominators are 414,478,660
The GCF of 91,196,161 is 7 .
LCM of 414,478,660 is 10884060.
The greatest common factor of 91/414,196/478,161/660 = [GCF of 91,196,161]/[LCM of 414,478,660]= 7/10884060
Therefore, the GCF of 91/414,196/478,161/660 is 7/10884060.
To find the highest common factor of 91,196,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The factors of 161 are 1, 7, 23, 161
The HCF of 91,196,161 is 7.
Lets's calculate GCF of 91,196,161
| 7 | 91, 196, 161 |
| 13, 28, 23 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 91,196,161 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 91,196,161 . The biggest common factor number is the GCF number.
So the greatest common factor 91,196,161 is 7.
Lets's calculate LCM of 414,478,660
| 2 | 414, 478, 660 |
| 3 | 207, 239, 330 |
| 69, 239, 110 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 239 x 110 = 10884060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10884060
Therefore, the GCF of Fractions 91/414,196/478,161/660 is 7/10884060
Least Common Multiple of 414,478,660 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 414,478,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,478,660) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(414,478,660) x common factors =2 x 6 = 12
LCM(414,478,660) = ( 414 × 478 × 660 ) / 12
LCM(414,478,660) = 130608720 / 12
LCM(414,478,660) = 10884060
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FAQs on GCF of Fractions of 91/414, 196/478, 161/660
1. What is the HCF of 91,196,161?
The HCF of 91,196,161 is 7
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 91/414, 196/478, 161/660?
Answer: GCF of Numerators as per given numbers 91/414, 196/478, 161/660 is
GCF of Numerators i.e. for 91,196,161 is 7
LCM of denominators i.e. for 414,478,660 is 10884060.
Thus, GCF of Fractions is 7/10884060.Finally, GCF of Fractions for 91/414, 196/478, 161/660 is 7/10884060.