GCF of 6330/712, 5782/2734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6330/712, 5782/2734 i.e 2/973304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6330/712, 5782/2734.
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 6330/712,5782/2734?
Given fractions are 6330/712,5782/2734
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 6330/712,5782/2734, numerators are 6330,5782
Denominators are 712,2734
The GCF of 6330,5782 is 2 .
LCM of 712,2734 is 973304.
The greatest common factor of 6330/712,5782/2734 = [GCF of 6330,5782]/[LCM of 712,2734]= 2/973304
Therefore, the GCF of 6330/712,5782/2734 is 2/973304.
To find the highest common factor of 6330,5782, we have to find the factors of both numbers and list the highest common factor.
The factors of 6330 are 1, 2, 3, 5, 6, 10, 15, 30, 211, 422, 633, 1055, 1266, 2110, 3165, 6330
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The HCF of 6330,5782 is 2.
Lets's calculate GCF of 6330,5782
| 2 | 6330, 5782 |
| 3165, 2891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6330,5782 By Matching Biggest Common Factor Method
Now, list down the factors of 6330
:1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Greatest Common Factor
We found the factors 6330,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 6330,5782 is 2.
Lets's calculate LCM of 712,2734
| 2 | 712, 2734 |
| 356, 1367 |
∴ So the LCM of the given numbers is 2 x 356 x 1367 = 973304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/973304
Therefore, the GCF of Fractions 6330/712,5782/2734 is 2/973304
Least Common Multiple of 712,2734 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 712,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,2734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,2734) x common factors =2 x 1 = 2
LCM(712,2734) = ( 712 × 2734 ) / 2
LCM(712,2734) = 1946608 / 2
LCM(712,2734) = 973304
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FAQs on GCF of Fractions of 6330/712, 5782/2734
1. What is the HCF of 6330,5782?
The HCF of 6330,5782 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 6330/712, 5782/2734?
Answer: GCF of Numerators as per given numbers 6330/712, 5782/2734 is
GCF of Numerators i.e. for 6330,5782 is 2
LCM of denominators i.e. for 712,2734 is 973304.
Thus, GCF of Fractions is 2/973304.Finally, GCF of Fractions for 6330/712, 5782/2734 is 2/973304.