GCF of 34/411, 64/534, 468/518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/411, 64/534, 468/518 i.e 2/18947922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/411, 64/534, 468/518.
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 34/411,64/534,468/518?
Given fractions are 34/411,64/534,468/518
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 34/411,64/534,468/518, numerators are 34,64,468
Denominators are 411,534,518
The GCF of 34,64,468 is 2 .
LCM of 411,534,518 is 18947922.
The greatest common factor of 34/411,64/534,468/518 = [GCF of 34,64,468]/[LCM of 411,534,518]= 2/18947922
Therefore, the GCF of 34/411,64/534,468/518 is 2/18947922.
To find the highest common factor of 34,64,468, 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 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 34,64,468 is 2.
Lets's calculate GCF of 34,64,468
| 2 | 34, 64, 468 |
| 17, 32, 234 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 34,64,468 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 34,64,468 . The biggest common factor number is the GCF number.
So the greatest common factor 34,64,468 is 2.
Lets's calculate LCM of 411,534,518
| 2 | 411, 534, 518 |
| 3 | 411, 267, 259 |
| 137, 89, 259 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 89 x 259 = 18947922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18947922
Therefore, the GCF of Fractions 34/411,64/534,468/518 is 2/18947922
Least Common Multiple of 411,534,518 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 411,534,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,534,518) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(411,534,518) x common factors =1 x 6 = 6
LCM(411,534,518) = ( 411 × 534 × 518 ) / 6
LCM(411,534,518) = 113687532 / 6
LCM(411,534,518) = 18947922
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FAQs on GCF of Fractions of 34/411, 64/534, 468/518
1. What is the HCF of 34,64,468?
The HCF of 34,64,468 is 2
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 34/411, 64/534, 468/518?
Answer: GCF of Numerators as per given numbers 34/411, 64/534, 468/518 is
GCF of Numerators i.e. for 34,64,468 is 2
LCM of denominators i.e. for 411,534,518 is 18947922.
Thus, GCF of Fractions is 2/18947922.Finally, GCF of Fractions for 34/411, 64/534, 468/518 is 2/18947922.