GCF of 86/166, 34/312, 580/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/166, 34/312, 580/885 i.e 2/7639320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/166, 34/312, 580/885.
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 86/166,34/312,580/885?
Given fractions are 86/166,34/312,580/885
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 86/166,34/312,580/885, numerators are 86,34,580
Denominators are 166,312,885
The GCF of 86,34,580 is 2 .
LCM of 166,312,885 is 7639320.
The greatest common factor of 86/166,34/312,580/885 = [GCF of 86,34,580]/[LCM of 166,312,885]= 2/7639320
Therefore, the GCF of 86/166,34/312,580/885 is 2/7639320.
To find the highest common factor of 86,34,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 34 are 1, 2, 17, 34
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 86,34,580 is 2.
Lets's calculate GCF of 86,34,580
| 2 | 86, 34, 580 |
| 43, 17, 290 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 86,34,580 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 86,34,580 . The biggest common factor number is the GCF number.
So the greatest common factor 86,34,580 is 2.
Lets's calculate LCM of 166,312,885
| 2 | 166, 312, 885 |
| 3 | 83, 156, 885 |
| 83, 52, 295 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 52 x 295 = 7639320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7639320
Therefore, the GCF of Fractions 86/166,34/312,580/885 is 2/7639320
Least Common Multiple of 166,312,885 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 166,312,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,312,885) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(166,312,885) x common factors =1 x 6 = 6
LCM(166,312,885) = ( 166 × 312 × 885 ) / 6
LCM(166,312,885) = 45835920 / 6
LCM(166,312,885) = 7639320
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FAQs on GCF of Fractions of 86/166, 34/312, 580/885
1. What is the HCF of 86,34,580?
The HCF of 86,34,580 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 86/166, 34/312, 580/885?
Answer: GCF of Numerators as per given numbers 86/166, 34/312, 580/885 is
GCF of Numerators i.e. for 86,34,580 is 2
LCM of denominators i.e. for 166,312,885 is 7639320.
Thus, GCF of Fractions is 2/7639320.Finally, GCF of Fractions for 86/166, 34/312, 580/885 is 2/7639320.