GCF of 1477/498, 3812/1776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1477/498, 3812/1776 i.e 1/147408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1477/498, 3812/1776.
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 1477/498,3812/1776?
Given fractions are 1477/498,3812/1776
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 1477/498,3812/1776, numerators are 1477,3812
Denominators are 498,1776
The GCF of 1477,3812 is 1 .
LCM of 498,1776 is 147408.
The greatest common factor of 1477/498,3812/1776 = [GCF of 1477,3812]/[LCM of 498,1776]= 1/147408
Therefore, the GCF of 1477/498,3812/1776 is 1/147408.
To find the highest common factor of 1477,3812, we have to find the factors of both numbers and list the highest common factor.
The factors of 1477 are 1, 7, 211, 1477
The factors of 3812 are 1, 2, 4, 953, 1906, 3812
The HCF of 1477,3812 is 1.
Lets's calculate GCF of 1477,3812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1477,3812 By Matching Biggest Common Factor Method
Now, list down the factors of 1477
:1,7,211,1477
Now, list down the factors of 3812
:1,2,4,953,1906,3812
Greatest Common Factor
We found the factors 1477,3812 . The biggest common factor number is the GCF number.
So the greatest common factor 1477,3812 is 1.
Lets's calculate LCM of 498,1776
| 2 | 498, 1776 |
| 3 | 249, 888 |
| 83, 296 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 296 = 147408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147408
Therefore, the GCF of Fractions 1477/498,3812/1776 is 1/147408
Least Common Multiple of 498,1776 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 498,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1776) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1776) x common factors =6 x 1 = 6
LCM(498,1776) = ( 498 × 1776 ) / 6
LCM(498,1776) = 884448 / 6
LCM(498,1776) = 147408
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FAQs on GCF of Fractions of 1477/498, 3812/1776
1. What is the HCF of 1477,3812?
The HCF of 1477,3812 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 1477/498, 3812/1776?
Answer: GCF of Numerators as per given numbers 1477/498, 3812/1776 is
GCF of Numerators i.e. for 1477,3812 is 1
LCM of denominators i.e. for 498,1776 is 147408.
Thus, GCF of Fractions is 1/147408.Finally, GCF of Fractions for 1477/498, 3812/1776 is 1/147408.