GCF of 416/28, 277/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 416/28, 277/413 i.e 1/1652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/28, 277/413.
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 416/28,277/413?
Given fractions are 416/28,277/413
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 416/28,277/413, numerators are 416,277
Denominators are 28,413
The GCF of 416,277 is 1 .
LCM of 28,413 is 1652.
The greatest common factor of 416/28,277/413 = [GCF of 416,277]/[LCM of 28,413]= 1/1652
Therefore, the GCF of 416/28,277/413 is 1/1652.
To find the highest common factor of 416,277, we have to find the factors of both numbers and list the highest common factor.
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The factors of 277 are 1, 277
The HCF of 416,277 is 1.
Lets's calculate GCF of 416,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 416,277 By Matching Biggest Common Factor Method
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Now, list down the factors of 277
:1,277
Greatest Common Factor
We found the factors 416,277 . The biggest common factor number is the GCF number.
So the greatest common factor 416,277 is 1.
Lets's calculate LCM of 28,413
| 7 | 28, 413 |
| 4, 59 |
∴ So the LCM of the given numbers is 7 x 4 x 59 = 1652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1652
Therefore, the GCF of Fractions 416/28,277/413 is 1/1652
Least Common Multiple of 28,413 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 28,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,413) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(28,413) x common factors =7 x 1 = 7
LCM(28,413) = ( 28 × 413 ) / 7
LCM(28,413) = 11564 / 7
LCM(28,413) = 1652
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FAQs on GCF of Fractions of 416/28, 277/413
1. What is the HCF of 416,277?
The HCF of 416,277 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 416/28, 277/413?
Answer: GCF of Numerators as per given numbers 416/28, 277/413 is
GCF of Numerators i.e. for 416,277 is 1
LCM of denominators i.e. for 28,413 is 1652.
Thus, GCF of Fractions is 1/1652.Finally, GCF of Fractions for 416/28, 277/413 is 1/1652.