GCF of 4893/618, 6743/6208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4893/618, 6743/6208 i.e 1/1918272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4893/618, 6743/6208.
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 4893/618,6743/6208?
Given fractions are 4893/618,6743/6208
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 4893/618,6743/6208, numerators are 4893,6743
Denominators are 618,6208
The GCF of 4893,6743 is 1 .
LCM of 618,6208 is 1918272.
The greatest common factor of 4893/618,6743/6208 = [GCF of 4893,6743]/[LCM of 618,6208]= 1/1918272
Therefore, the GCF of 4893/618,6743/6208 is 1/1918272.
To find the highest common factor of 4893,6743, we have to find the factors of both numbers and list the highest common factor.
The factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893
The factors of 6743 are 1, 11, 613, 6743
The HCF of 4893,6743 is 1.
Lets's calculate GCF of 4893,6743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4893,6743 By Matching Biggest Common Factor Method
Now, list down the factors of 4893
:1,3,7,21,233,699,1631,4893
Now, list down the factors of 6743
:1,11,613,6743
Greatest Common Factor
We found the factors 4893,6743 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,6743 is 1.
Lets's calculate LCM of 618,6208
| 2 | 618, 6208 |
| 309, 3104 |
∴ So the LCM of the given numbers is 2 x 309 x 3104 = 1918272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1918272
Therefore, the GCF of Fractions 4893/618,6743/6208 is 1/1918272
Least Common Multiple of 618,6208 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 618,6208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,6208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,6208) x common factors =2 x 1 = 2
LCM(618,6208) = ( 618 × 6208 ) / 2
LCM(618,6208) = 3836544 / 2
LCM(618,6208) = 1918272
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FAQs on GCF of Fractions of 4893/618, 6743/6208
1. What is the HCF of 4893,6743?
The HCF of 4893,6743 is 1
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 4893/618, 6743/6208?
Answer: GCF of Numerators as per given numbers 4893/618, 6743/6208 is
GCF of Numerators i.e. for 4893,6743 is 1
LCM of denominators i.e. for 618,6208 is 1918272.
Thus, GCF of Fractions is 1/1918272.Finally, GCF of Fractions for 4893/618, 6743/6208 is 1/1918272.