GCF of 5630/588, 6354/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5630/588, 6354/721 i.e 2/60564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5630/588, 6354/721.
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 5630/588,6354/721?
Given fractions are 5630/588,6354/721
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 5630/588,6354/721, numerators are 5630,6354
Denominators are 588,721
The GCF of 5630,6354 is 2 .
LCM of 588,721 is 60564.
The greatest common factor of 5630/588,6354/721 = [GCF of 5630,6354]/[LCM of 588,721]= 2/60564
Therefore, the GCF of 5630/588,6354/721 is 2/60564.
To find the highest common factor of 5630,6354, we have to find the factors of both numbers and list the highest common factor.
The factors of 5630 are 1, 2, 5, 10, 563, 1126, 2815, 5630
The factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354
The HCF of 5630,6354 is 2.
Lets's calculate GCF of 5630,6354
| 2 | 5630, 6354 |
| 2815, 3177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5630,6354 By Matching Biggest Common Factor Method
Now, list down the factors of 5630
:1,2,5,10,563,1126,2815,5630
Now, list down the factors of 6354
:1,2,3,6,9,18,353,706,1059,2118,3177,6354
Greatest Common Factor
We found the factors 5630,6354 . The biggest common factor number is the GCF number.
So the greatest common factor 5630,6354 is 2.
Lets's calculate LCM of 588,721
| 7 | 588, 721 |
| 84, 103 |
∴ So the LCM of the given numbers is 7 x 84 x 103 = 60564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60564
Therefore, the GCF of Fractions 5630/588,6354/721 is 2/60564
Least Common Multiple of 588,721 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 588,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,721) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(588,721) x common factors =7 x 1 = 7
LCM(588,721) = ( 588 × 721 ) / 7
LCM(588,721) = 423948 / 7
LCM(588,721) = 60564
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FAQs on GCF of Fractions of 5630/588, 6354/721
1. What is the HCF of 5630,6354?
The HCF of 5630,6354 is 2
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 5630/588, 6354/721?
Answer: GCF of Numerators as per given numbers 5630/588, 6354/721 is
GCF of Numerators i.e. for 5630,6354 is 2
LCM of denominators i.e. for 588,721 is 60564.
Thus, GCF of Fractions is 2/60564.Finally, GCF of Fractions for 5630/588, 6354/721 is 2/60564.