GCF of 1576/554, 5122/5690
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1576/554, 5122/5690 i.e 394/1576130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1576/554, 5122/5690.
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 1576/554,5122/5690?
Given fractions are 1576/554,5122/5690
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 1576/554,5122/5690, numerators are 1576,5122
Denominators are 554,5690
The GCF of 1576,5122 is 394 .
LCM of 554,5690 is 1576130.
The greatest common factor of 1576/554,5122/5690 = [GCF of 1576,5122]/[LCM of 554,5690]= 394/1576130
Therefore, the GCF of 1576/554,5122/5690 is 394/1576130.
To find the highest common factor of 1576,5122, we have to find the factors of both numbers and list the highest common factor.
The factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The HCF of 1576,5122 is 394.
Lets's calculate GCF of 1576,5122
| 2 | 1576, 5122 |
| 197 | 788, 2561 |
| 4, 13 |
∴ So the GCF of the given numbers is 2 x 197 = 394
Greatest Common Factor of 1576,5122 By Matching Biggest Common Factor Method
Now, list down the factors of 1576
:1,2,4,8,197,394,788,1576
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Greatest Common Factor
We found the factors 1576,5122 . The biggest common factor number is the GCF number.
So the greatest common factor 1576,5122 is 394.
Lets's calculate LCM of 554,5690
| 2 | 554, 5690 |
| 277, 2845 |
∴ So the LCM of the given numbers is 2 x 277 x 2845 = 1576130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 394/1576130
Therefore, the GCF of Fractions 1576/554,5122/5690 is 394/1576130
Least Common Multiple of 554,5690 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 554,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,5690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,5690) x common factors =2 x 1 = 2
LCM(554,5690) = ( 554 × 5690 ) / 2
LCM(554,5690) = 3152260 / 2
LCM(554,5690) = 1576130
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FAQs on GCF of Fractions of 1576/554, 5122/5690
1. What is the HCF of 1576,5122?
The HCF of 1576,5122 is 394
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 1576/554, 5122/5690?
Answer: GCF of Numerators as per given numbers 1576/554, 5122/5690 is
GCF of Numerators i.e. for 1576,5122 is 394
LCM of denominators i.e. for 554,5690 is 1576130.
Thus, GCF of Fractions is 394/1576130.Finally, GCF of Fractions for 1576/554, 5122/5690 is 394/1576130.