GCF of 4463/542, 8888/8742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4463/542, 8888/8742 i.e 1/2369082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4463/542, 8888/8742.
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 4463/542,8888/8742?
Given fractions are 4463/542,8888/8742
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 4463/542,8888/8742, numerators are 4463,8888
Denominators are 542,8742
The GCF of 4463,8888 is 1 .
LCM of 542,8742 is 2369082.
The greatest common factor of 4463/542,8888/8742 = [GCF of 4463,8888]/[LCM of 542,8742]= 1/2369082
Therefore, the GCF of 4463/542,8888/8742 is 1/2369082.
To find the highest common factor of 4463,8888, we have to find the factors of both numbers and list the highest common factor.
The factors of 4463 are 1, 4463
The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888
The HCF of 4463,8888 is 1.
Lets's calculate GCF of 4463,8888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4463,8888 By Matching Biggest Common Factor Method
Now, list down the factors of 4463
:1,4463
Now, list down the factors of 8888
:1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Greatest Common Factor
We found the factors 4463,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 4463,8888 is 1.
Lets's calculate LCM of 542,8742
| 2 | 542, 8742 |
| 271, 4371 |
∴ So the LCM of the given numbers is 2 x 271 x 4371 = 2369082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2369082
Therefore, the GCF of Fractions 4463/542,8888/8742 is 1/2369082
Least Common Multiple of 542,8742 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 542,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,8742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,8742) x common factors =2 x 1 = 2
LCM(542,8742) = ( 542 × 8742 ) / 2
LCM(542,8742) = 4738164 / 2
LCM(542,8742) = 2369082
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FAQs on GCF of Fractions of 4463/542, 8888/8742
1. What is the HCF of 4463,8888?
The HCF of 4463,8888 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 4463/542, 8888/8742?
Answer: GCF of Numerators as per given numbers 4463/542, 8888/8742 is
GCF of Numerators i.e. for 4463,8888 is 1
LCM of denominators i.e. for 542,8742 is 2369082.
Thus, GCF of Fractions is 1/2369082.Finally, GCF of Fractions for 4463/542, 8888/8742 is 1/2369082.