GCF of 3076/540, 5833/5508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3076/540, 5833/5508 i.e 1/27540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3076/540, 5833/5508.
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 3076/540,5833/5508?
Given fractions are 3076/540,5833/5508
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 3076/540,5833/5508, numerators are 3076,5833
Denominators are 540,5508
The GCF of 3076,5833 is 1 .
LCM of 540,5508 is 27540.
The greatest common factor of 3076/540,5833/5508 = [GCF of 3076,5833]/[LCM of 540,5508]= 1/27540
Therefore, the GCF of 3076/540,5833/5508 is 1/27540.
To find the highest common factor of 3076,5833, we have to find the factors of both numbers and list the highest common factor.
The factors of 3076 are 1, 2, 4, 769, 1538, 3076
The factors of 5833 are 1, 19, 307, 5833
The HCF of 3076,5833 is 1.
Lets's calculate GCF of 3076,5833
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3076,5833 By Matching Biggest Common Factor Method
Now, list down the factors of 3076
:1,2,4,769,1538,3076
Now, list down the factors of 5833
:1,19,307,5833
Greatest Common Factor
We found the factors 3076,5833 . The biggest common factor number is the GCF number.
So the greatest common factor 3076,5833 is 1.
Lets's calculate LCM of 540,5508
| 2 | 540, 5508 |
| 2 | 270, 2754 |
| 3 | 135, 1377 |
| 3 | 45, 459 |
| 3 | 15, 153 |
| 5, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 51 = 27540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27540
Therefore, the GCF of Fractions 3076/540,5833/5508 is 1/27540
Least Common Multiple of 540,5508 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 540,5508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,5508) = 108
common factors(in case of two or more numbers have common factors) = 1
GCF(540,5508) x common factors =108 x 1 = 108
LCM(540,5508) = ( 540 × 5508 ) / 108
LCM(540,5508) = 2974320 / 108
LCM(540,5508) = 27540
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FAQs on GCF of Fractions of 3076/540, 5833/5508
1. What is the HCF of 3076,5833?
The HCF of 3076,5833 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 3076/540, 5833/5508?
Answer: GCF of Numerators as per given numbers 3076/540, 5833/5508 is
GCF of Numerators i.e. for 3076,5833 is 1
LCM of denominators i.e. for 540,5508 is 27540.
Thus, GCF of Fractions is 1/27540.Finally, GCF of Fractions for 3076/540, 5833/5508 is 1/27540.