GCF of 580/834, 7076/5932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 580/834, 7076/5932 i.e 116/2473644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 580/834, 7076/5932.
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 580/834,7076/5932?
Given fractions are 580/834,7076/5932
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 580/834,7076/5932, numerators are 580,7076
Denominators are 834,5932
The GCF of 580,7076 is 116 .
LCM of 834,5932 is 2473644.
The greatest common factor of 580/834,7076/5932 = [GCF of 580,7076]/[LCM of 834,5932]= 116/2473644
Therefore, the GCF of 580/834,7076/5932 is 116/2473644.
To find the highest common factor of 580,7076, we have to find the factors of both numbers and list the highest common factor.
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076
The HCF of 580,7076 is 116.
Lets's calculate GCF of 580,7076
| 2 | 580, 7076 |
| 2 | 290, 3538 |
| 29 | 145, 1769 |
| 5, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Greatest Common Factor of 580,7076 By Matching Biggest Common Factor Method
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Now, list down the factors of 7076
:1,2,4,29,58,61,116,122,244,1769,3538,7076
Greatest Common Factor
We found the factors 580,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 580,7076 is 116.
Lets's calculate LCM of 834,5932
| 2 | 834, 5932 |
| 417, 2966 |
∴ So the LCM of the given numbers is 2 x 417 x 2966 = 2473644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/2473644
Therefore, the GCF of Fractions 580/834,7076/5932 is 116/2473644
Least Common Multiple of 834,5932 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 834,5932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,5932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,5932) x common factors =2 x 1 = 2
LCM(834,5932) = ( 834 × 5932 ) / 2
LCM(834,5932) = 4947288 / 2
LCM(834,5932) = 2473644
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FAQs on GCF of Fractions of 580/834, 7076/5932
1. What is the HCF of 580,7076?
The HCF of 580,7076 is 116
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 580/834, 7076/5932?
Answer: GCF of Numerators as per given numbers 580/834, 7076/5932 is
GCF of Numerators i.e. for 580,7076 is 116
LCM of denominators i.e. for 834,5932 is 2473644.
Thus, GCF of Fractions is 116/2473644.Finally, GCF of Fractions for 580/834, 7076/5932 is 116/2473644.