GCF of 34/558, 299/565, 267/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/558, 299/565, 267/466 i.e 1/73457910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/558, 299/565, 267/466.
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 34/558,299/565,267/466?
Given fractions are 34/558,299/565,267/466
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 34/558,299/565,267/466, numerators are 34,299,267
Denominators are 558,565,466
The GCF of 34,299,267 is 1 .
LCM of 558,565,466 is 73457910.
The greatest common factor of 34/558,299/565,267/466 = [GCF of 34,299,267]/[LCM of 558,565,466]= 1/73457910
Therefore, the GCF of 34/558,299/565,267/466 is 1/73457910.
To find the highest common factor of 34,299,267, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 299 are 1, 13, 23, 299
The factors of 267 are 1, 3, 89, 267
The HCF of 34,299,267 is 1.
Lets's calculate GCF of 34,299,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,299,267 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 299
:1,13,23,299
Now, list down the factors of 267
:1,3,89,267
Greatest Common Factor
We found the factors 34,299,267 . The biggest common factor number is the GCF number.
So the greatest common factor 34,299,267 is 1.
Lets's calculate LCM of 558,565,466
| 2 | 558, 565, 466 |
| 279, 565, 233 |
∴ So the LCM of the given numbers is 2 x 279 x 565 x 233 = 73457910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73457910
Therefore, the GCF of Fractions 34/558,299/565,267/466 is 1/73457910
Least Common Multiple of 558,565,466 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 558,565,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,565,466) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(558,565,466) x common factors =1 x 2 = 2
LCM(558,565,466) = ( 558 × 565 × 466 ) / 2
LCM(558,565,466) = 146915820 / 2
LCM(558,565,466) = 73457910
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FAQs on GCF of Fractions of 34/558, 299/565, 267/466
1. What is the HCF of 34,299,267?
The HCF of 34,299,267 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 34/558, 299/565, 267/466?
Answer: GCF of Numerators as per given numbers 34/558, 299/565, 267/466 is
GCF of Numerators i.e. for 34,299,267 is 1
LCM of denominators i.e. for 558,565,466 is 73457910.
Thus, GCF of Fractions is 1/73457910.Finally, GCF of Fractions for 34/558, 299/565, 267/466 is 1/73457910.