GCF of 862/588, 4314/6744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/588, 4314/6744 i.e 2/330456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/588, 4314/6744.
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 862/588,4314/6744?
Given fractions are 862/588,4314/6744
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 862/588,4314/6744, numerators are 862,4314
Denominators are 588,6744
The GCF of 862,4314 is 2 .
LCM of 588,6744 is 330456.
The greatest common factor of 862/588,4314/6744 = [GCF of 862,4314]/[LCM of 588,6744]= 2/330456
Therefore, the GCF of 862/588,4314/6744 is 2/330456.
To find the highest common factor of 862,4314, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314
The HCF of 862,4314 is 2.
Lets's calculate GCF of 862,4314
| 2 | 862, 4314 |
| 431, 2157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 862,4314 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 4314
:1,2,3,6,719,1438,2157,4314
Greatest Common Factor
We found the factors 862,4314 . The biggest common factor number is the GCF number.
So the greatest common factor 862,4314 is 2.
Lets's calculate LCM of 588,6744
| 2 | 588, 6744 |
| 2 | 294, 3372 |
| 3 | 147, 1686 |
| 49, 562 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 562 = 330456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/330456
Therefore, the GCF of Fractions 862/588,4314/6744 is 2/330456
Least Common Multiple of 588,6744 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 588,6744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,6744) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,6744) x common factors =12 x 1 = 12
LCM(588,6744) = ( 588 × 6744 ) / 12
LCM(588,6744) = 3965472 / 12
LCM(588,6744) = 330456
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FAQs on GCF of Fractions of 862/588, 4314/6744
1. What is the HCF of 862,4314?
The HCF of 862,4314 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 862/588, 4314/6744?
Answer: GCF of Numerators as per given numbers 862/588, 4314/6744 is
GCF of Numerators i.e. for 862,4314 is 2
LCM of denominators i.e. for 588,6744 is 330456.
Thus, GCF of Fractions is 2/330456.Finally, GCF of Fractions for 862/588, 4314/6744 is 2/330456.