GCF of 55/60, 34/36, 277/805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 55/60, 34/36, 277/805 i.e 1/28980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/60, 34/36, 277/805.
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 55/60,34/36,277/805?
Given fractions are 55/60,34/36,277/805
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 55/60,34/36,277/805, numerators are 55,34,277
Denominators are 60,36,805
The GCF of 55,34,277 is 1 .
LCM of 60,36,805 is 28980.
The greatest common factor of 55/60,34/36,277/805 = [GCF of 55,34,277]/[LCM of 60,36,805]= 1/28980
Therefore, the GCF of 55/60,34/36,277/805 is 1/28980.
To find the highest common factor of 55,34,277, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 34 are 1, 2, 17, 34
The factors of 277 are 1, 277
The HCF of 55,34,277 is 1.
Lets's calculate GCF of 55,34,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 55,34,277 By Matching Biggest Common Factor Method
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 277
:1,277
Greatest Common Factor
We found the factors 55,34,277 . The biggest common factor number is the GCF number.
So the greatest common factor 55,34,277 is 1.
Lets's calculate LCM of 60,36,805
| 2 | 60, 36, 805 |
| 2 | 30, 18, 805 |
| 3 | 15, 9, 805 |
| 5 | 5, 3, 805 |
| 1, 3, 161 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 3 x 161 = 28980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28980
Therefore, the GCF of Fractions 55/60,34/36,277/805 is 1/28980
Least Common Multiple of 60,36,805 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 60,36,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,36,805) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(60,36,805) x common factors =1 x 60 = 60
LCM(60,36,805) = ( 60 × 36 × 805 ) / 60
LCM(60,36,805) = 1738800 / 60
LCM(60,36,805) = 28980
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FAQs on GCF of Fractions of 55/60, 34/36, 277/805
1. What is the HCF of 55,34,277?
The HCF of 55,34,277 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 55/60, 34/36, 277/805?
Answer: GCF of Numerators as per given numbers 55/60, 34/36, 277/805 is
GCF of Numerators i.e. for 55,34,277 is 1
LCM of denominators i.e. for 60,36,805 is 28980.
Thus, GCF of Fractions is 1/28980.Finally, GCF of Fractions for 55/60, 34/36, 277/805 is 1/28980.