GCF of 6039/694, 5612/7830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6039/694, 5612/7830 i.e 61/2717010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6039/694, 5612/7830.
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 6039/694,5612/7830?
Given fractions are 6039/694,5612/7830
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 6039/694,5612/7830, numerators are 6039,5612
Denominators are 694,7830
The GCF of 6039,5612 is 61 .
LCM of 694,7830 is 2717010.
The greatest common factor of 6039/694,5612/7830 = [GCF of 6039,5612]/[LCM of 694,7830]= 61/2717010
Therefore, the GCF of 6039/694,5612/7830 is 61/2717010.
To find the highest common factor of 6039,5612, we have to find the factors of both numbers and list the highest common factor.
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The HCF of 6039,5612 is 61.
Lets's calculate GCF of 6039,5612
| 61 | 6039, 5612 |
| 99, 92 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 6039,5612 By Matching Biggest Common Factor Method
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Greatest Common Factor
We found the factors 6039,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 6039,5612 is 61.
Lets's calculate LCM of 694,7830
| 2 | 694, 7830 |
| 347, 3915 |
∴ So the LCM of the given numbers is 2 x 347 x 3915 = 2717010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/2717010
Therefore, the GCF of Fractions 6039/694,5612/7830 is 61/2717010
Least Common Multiple of 694,7830 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 694,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,7830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,7830) x common factors =2 x 1 = 2
LCM(694,7830) = ( 694 × 7830 ) / 2
LCM(694,7830) = 5434020 / 2
LCM(694,7830) = 2717010
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FAQs on GCF of Fractions of 6039/694, 5612/7830
1. What is the HCF of 6039,5612?
The HCF of 6039,5612 is 61
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 6039/694, 5612/7830?
Answer: GCF of Numerators as per given numbers 6039/694, 5612/7830 is
GCF of Numerators i.e. for 6039,5612 is 61
LCM of denominators i.e. for 694,7830 is 2717010.
Thus, GCF of Fractions is 61/2717010.Finally, GCF of Fractions for 6039/694, 5612/7830 is 61/2717010.