GCF of 6544/508, 4118/3423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6544/508, 4118/3423 i.e 2/1738884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6544/508, 4118/3423.
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 6544/508,4118/3423?
Given fractions are 6544/508,4118/3423
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 6544/508,4118/3423, numerators are 6544,4118
Denominators are 508,3423
The GCF of 6544,4118 is 2 .
LCM of 508,3423 is 1738884.
The greatest common factor of 6544/508,4118/3423 = [GCF of 6544,4118]/[LCM of 508,3423]= 2/1738884
Therefore, the GCF of 6544/508,4118/3423 is 2/1738884.
To find the highest common factor of 6544,4118, we have to find the factors of both numbers and list the highest common factor.
The factors of 6544 are 1, 2, 4, 8, 16, 409, 818, 1636, 3272, 6544
The factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118
The HCF of 6544,4118 is 2.
Lets's calculate GCF of 6544,4118
| 2 | 6544, 4118 |
| 3272, 2059 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6544,4118 By Matching Biggest Common Factor Method
Now, list down the factors of 6544
:1,2,4,8,16,409,818,1636,3272,6544
Now, list down the factors of 4118
:1,2,29,58,71,142,2059,4118
Greatest Common Factor
We found the factors 6544,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 6544,4118 is 2.
Lets's calculate LCM of 508,3423
Given numbers has no common factors except 1. So, there LCM is their product i.e 1738884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1738884
Therefore, the GCF of Fractions 6544/508,4118/3423 is 2/1738884
Least Common Multiple of 508,3423 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 508,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,3423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,3423) x common factors =1 x 1 = 1
LCM(508,3423) = ( 508 × 3423 ) / 1
LCM(508,3423) = 1738884 / 1
LCM(508,3423) = 1738884
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FAQs on GCF of Fractions of 6544/508, 4118/3423
1. What is the HCF of 6544,4118?
The HCF of 6544,4118 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 6544/508, 4118/3423?
Answer: GCF of Numerators as per given numbers 6544/508, 4118/3423 is
GCF of Numerators i.e. for 6544,4118 is 2
LCM of denominators i.e. for 508,3423 is 1738884.
Thus, GCF of Fractions is 2/1738884.Finally, GCF of Fractions for 6544/508, 4118/3423 is 2/1738884.