GCF of 2058/454, 4560/5351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2058/454, 4560/5351 i.e 6/2429354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2058/454, 4560/5351.
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 2058/454,4560/5351?
Given fractions are 2058/454,4560/5351
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 2058/454,4560/5351, numerators are 2058,4560
Denominators are 454,5351
The GCF of 2058,4560 is 6 .
LCM of 454,5351 is 2429354.
The greatest common factor of 2058/454,4560/5351 = [GCF of 2058,4560]/[LCM of 454,5351]= 6/2429354
Therefore, the GCF of 2058/454,4560/5351 is 6/2429354.
To find the highest common factor of 2058,4560, we have to find the factors of both numbers and list the highest common factor.
The factors of 2058 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058
The factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560
The HCF of 2058,4560 is 6.
Lets's calculate GCF of 2058,4560
| 2 | 2058, 4560 |
| 3 | 1029, 2280 |
| 343, 760 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2058,4560 By Matching Biggest Common Factor Method
Now, list down the factors of 2058
:1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058
Now, list down the factors of 4560
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560
Greatest Common Factor
We found the factors 2058,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 2058,4560 is 6.
Lets's calculate LCM of 454,5351
Given numbers has no common factors except 1. So, there LCM is their product i.e 2429354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2429354
Therefore, the GCF of Fractions 2058/454,4560/5351 is 6/2429354
Least Common Multiple of 454,5351 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 454,5351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,5351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,5351) x common factors =1 x 1 = 1
LCM(454,5351) = ( 454 × 5351 ) / 1
LCM(454,5351) = 2429354 / 1
LCM(454,5351) = 2429354
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FAQs on GCF of Fractions of 2058/454, 4560/5351
1. What is the HCF of 2058,4560?
The HCF of 2058,4560 is 6
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 2058/454, 4560/5351?
Answer: GCF of Numerators as per given numbers 2058/454, 4560/5351 is
GCF of Numerators i.e. for 2058,4560 is 6
LCM of denominators i.e. for 454,5351 is 2429354.
Thus, GCF of Fractions is 6/2429354.Finally, GCF of Fractions for 2058/454, 4560/5351 is 6/2429354.