GCF of 6744/720, 5638/9657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6744/720, 5638/9657 i.e 2/772560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6744/720, 5638/9657.
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 6744/720,5638/9657?
Given fractions are 6744/720,5638/9657
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 6744/720,5638/9657, numerators are 6744,5638
Denominators are 720,9657
The GCF of 6744,5638 is 2 .
LCM of 720,9657 is 772560.
The greatest common factor of 6744/720,5638/9657 = [GCF of 6744,5638]/[LCM of 720,9657]= 2/772560
Therefore, the GCF of 6744/720,5638/9657 is 2/772560.
To find the highest common factor of 6744,5638, we have to find the factors of both numbers and list the highest common factor.
The factors of 6744 are 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744
The factors of 5638 are 1, 2, 2819, 5638
The HCF of 6744,5638 is 2.
Lets's calculate GCF of 6744,5638
| 2 | 6744, 5638 |
| 3372, 2819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6744,5638 By Matching Biggest Common Factor Method
Now, list down the factors of 6744
:1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744
Now, list down the factors of 5638
:1,2,2819,5638
Greatest Common Factor
We found the factors 6744,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 6744,5638 is 2.
Lets's calculate LCM of 720,9657
| 3 | 720, 9657 |
| 3 | 240, 3219 |
| 80, 1073 |
∴ So the LCM of the given numbers is 3 x 3 x 80 x 1073 = 772560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/772560
Therefore, the GCF of Fractions 6744/720,5638/9657 is 2/772560
Least Common Multiple of 720,9657 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 720,9657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,9657) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(720,9657) x common factors =9 x 1 = 9
LCM(720,9657) = ( 720 × 9657 ) / 9
LCM(720,9657) = 6953040 / 9
LCM(720,9657) = 772560
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FAQs on GCF of Fractions of 6744/720, 5638/9657
1. What is the HCF of 6744,5638?
The HCF of 6744,5638 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 6744/720, 5638/9657?
Answer: GCF of Numerators as per given numbers 6744/720, 5638/9657 is
GCF of Numerators i.e. for 6744,5638 is 2
LCM of denominators i.e. for 720,9657 is 772560.
Thus, GCF of Fractions is 2/772560.Finally, GCF of Fractions for 6744/720, 5638/9657 is 2/772560.