GCF of 91/16, 975/45, 429/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/16, 975/45, 429/418 i.e 13/150480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/16, 975/45, 429/418.
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 91/16,975/45,429/418?
Given fractions are 91/16,975/45,429/418
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 91/16,975/45,429/418, numerators are 91,975,429
Denominators are 16,45,418
The GCF of 91,975,429 is 13 .
LCM of 16,45,418 is 150480.
The greatest common factor of 91/16,975/45,429/418 = [GCF of 91,975,429]/[LCM of 16,45,418]= 13/150480
Therefore, the GCF of 91/16,975/45,429/418 is 13/150480.
To find the highest common factor of 91,975,429, 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 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The HCF of 91,975,429 is 13.
Lets's calculate GCF of 91,975,429
| 13 | 91, 975, 429 |
| 7, 75, 33 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 91,975,429 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 91,975,429 . The biggest common factor number is the GCF number.
So the greatest common factor 91,975,429 is 13.
Lets's calculate LCM of 16,45,418
| 2 | 16, 45, 418 |
| 8, 45, 209 |
∴ So the LCM of the given numbers is 2 x 8 x 45 x 209 = 150480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/150480
Therefore, the GCF of Fractions 91/16,975/45,429/418 is 13/150480
Least Common Multiple of 16,45,418 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 16,45,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,45,418) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,45,418) x common factors =1 x 2 = 2
LCM(16,45,418) = ( 16 × 45 × 418 ) / 2
LCM(16,45,418) = 300960 / 2
LCM(16,45,418) = 150480
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FAQs on GCF of Fractions of 91/16, 975/45, 429/418
1. What is the HCF of 91,975,429?
The HCF of 91,975,429 is 13
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 91/16, 975/45, 429/418?
Answer: GCF of Numerators as per given numbers 91/16, 975/45, 429/418 is
GCF of Numerators i.e. for 91,975,429 is 13
LCM of denominators i.e. for 16,45,418 is 150480.
Thus, GCF of Fractions is 13/150480.Finally, GCF of Fractions for 91/16, 975/45, 429/418 is 13/150480.