GCF of 6234/640, 6542/2109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6234/640, 6542/2109 i.e 2/1349760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6234/640, 6542/2109.
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 6234/640,6542/2109?
Given fractions are 6234/640,6542/2109
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 6234/640,6542/2109, numerators are 6234,6542
Denominators are 640,2109
The GCF of 6234,6542 is 2 .
LCM of 640,2109 is 1349760.
The greatest common factor of 6234/640,6542/2109 = [GCF of 6234,6542]/[LCM of 640,2109]= 2/1349760
Therefore, the GCF of 6234/640,6542/2109 is 2/1349760.
To find the highest common factor of 6234,6542, we have to find the factors of both numbers and list the highest common factor.
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The factors of 6542 are 1, 2, 3271, 6542
The HCF of 6234,6542 is 2.
Lets's calculate GCF of 6234,6542
| 2 | 6234, 6542 |
| 3117, 3271 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6234,6542 By Matching Biggest Common Factor Method
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Now, list down the factors of 6542
:1,2,3271,6542
Greatest Common Factor
We found the factors 6234,6542 . The biggest common factor number is the GCF number.
So the greatest common factor 6234,6542 is 2.
Lets's calculate LCM of 640,2109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1349760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1349760
Therefore, the GCF of Fractions 6234/640,6542/2109 is 2/1349760
Least Common Multiple of 640,2109 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 640,2109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,2109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,2109) x common factors =1 x 1 = 1
LCM(640,2109) = ( 640 × 2109 ) / 1
LCM(640,2109) = 1349760 / 1
LCM(640,2109) = 1349760
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FAQs on GCF of Fractions of 6234/640, 6542/2109
1. What is the HCF of 6234,6542?
The HCF of 6234,6542 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 6234/640, 6542/2109?
Answer: GCF of Numerators as per given numbers 6234/640, 6542/2109 is
GCF of Numerators i.e. for 6234,6542 is 2
LCM of denominators i.e. for 640,2109 is 1349760.
Thus, GCF of Fractions is 2/1349760.Finally, GCF of Fractions for 6234/640, 6542/2109 is 2/1349760.