GCF of 91/39, 141/12, 346/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/39, 141/12, 346/457 i.e 1/71292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/39, 141/12, 346/457.
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 91/39,141/12,346/457?
Given fractions are 91/39,141/12,346/457
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 91/39,141/12,346/457, numerators are 91,141,346
Denominators are 39,12,457
The GCF of 91,141,346 is 1 .
LCM of 39,12,457 is 71292.
The greatest common factor of 91/39,141/12,346/457 = [GCF of 91,141,346]/[LCM of 39,12,457]= 1/71292
Therefore, the GCF of 91/39,141/12,346/457 is 1/71292.
To find the highest common factor of 91,141,346, 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 141 are 1, 3, 47, 141
The factors of 346 are 1, 2, 173, 346
The HCF of 91,141,346 is 1.
Lets's calculate GCF of 91,141,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 91,141,346 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 91,141,346 . The biggest common factor number is the GCF number.
So the greatest common factor 91,141,346 is 1.
Lets's calculate LCM of 39,12,457
| 3 | 39, 12, 457 |
| 13, 4, 457 |
∴ So the LCM of the given numbers is 3 x 13 x 4 x 457 = 71292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71292
Therefore, the GCF of Fractions 91/39,141/12,346/457 is 1/71292
Least Common Multiple of 39,12,457 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 39,12,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,12,457) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,12,457) x common factors =1 x 3 = 3
LCM(39,12,457) = ( 39 × 12 × 457 ) / 3
LCM(39,12,457) = 213876 / 3
LCM(39,12,457) = 71292
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FAQs on GCF of Fractions of 91/39, 141/12, 346/457
1. What is the HCF of 91,141,346?
The HCF of 91,141,346 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 91/39, 141/12, 346/457?
Answer: GCF of Numerators as per given numbers 91/39, 141/12, 346/457 is
GCF of Numerators i.e. for 91,141,346 is 1
LCM of denominators i.e. for 39,12,457 is 71292.
Thus, GCF of Fractions is 1/71292.Finally, GCF of Fractions for 91/39, 141/12, 346/457 is 1/71292.