GCF of 1583/484, 5180/4213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1583/484, 5180/4213 i.e 1/185372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1583/484, 5180/4213.
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 1583/484,5180/4213?
Given fractions are 1583/484,5180/4213
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 1583/484,5180/4213, numerators are 1583,5180
Denominators are 484,4213
The GCF of 1583,5180 is 1 .
LCM of 484,4213 is 185372.
The greatest common factor of 1583/484,5180/4213 = [GCF of 1583,5180]/[LCM of 484,4213]= 1/185372
Therefore, the GCF of 1583/484,5180/4213 is 1/185372.
To find the highest common factor of 1583,5180, we have to find the factors of both numbers and list the highest common factor.
The factors of 1583 are 1, 1583
The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The HCF of 1583,5180 is 1.
Lets's calculate GCF of 1583,5180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1583,5180 By Matching Biggest Common Factor Method
Now, list down the factors of 1583
:1,1583
Now, list down the factors of 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Greatest Common Factor
We found the factors 1583,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,5180 is 1.
Lets's calculate LCM of 484,4213
| 11 | 484, 4213 |
| 44, 383 |
∴ So the LCM of the given numbers is 11 x 44 x 383 = 185372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185372
Therefore, the GCF of Fractions 1583/484,5180/4213 is 1/185372
Least Common Multiple of 484,4213 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 484,4213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,4213) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(484,4213) x common factors =11 x 1 = 11
LCM(484,4213) = ( 484 × 4213 ) / 11
LCM(484,4213) = 2039092 / 11
LCM(484,4213) = 185372
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FAQs on GCF of Fractions of 1583/484, 5180/4213
1. What is the HCF of 1583,5180?
The HCF of 1583,5180 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 1583/484, 5180/4213?
Answer: GCF of Numerators as per given numbers 1583/484, 5180/4213 is
GCF of Numerators i.e. for 1583,5180 is 1
LCM of denominators i.e. for 484,4213 is 185372.
Thus, GCF of Fractions is 1/185372.Finally, GCF of Fractions for 1583/484, 5180/4213 is 1/185372.