GCF of 4363/534, 4869/2112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4363/534, 4869/2112 i.e 1/187968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4363/534, 4869/2112.
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 4363/534,4869/2112?
Given fractions are 4363/534,4869/2112
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 4363/534,4869/2112, numerators are 4363,4869
Denominators are 534,2112
The GCF of 4363,4869 is 1 .
LCM of 534,2112 is 187968.
The greatest common factor of 4363/534,4869/2112 = [GCF of 4363,4869]/[LCM of 534,2112]= 1/187968
Therefore, the GCF of 4363/534,4869/2112 is 1/187968.
To find the highest common factor of 4363,4869, we have to find the factors of both numbers and list the highest common factor.
The factors of 4363 are 1, 4363
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The HCF of 4363,4869 is 1.
Lets's calculate GCF of 4363,4869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4363,4869 By Matching Biggest Common Factor Method
Now, list down the factors of 4363
:1,4363
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Greatest Common Factor
We found the factors 4363,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 4363,4869 is 1.
Lets's calculate LCM of 534,2112
| 2 | 534, 2112 |
| 3 | 267, 1056 |
| 89, 352 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 352 = 187968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187968
Therefore, the GCF of Fractions 4363/534,4869/2112 is 1/187968
Least Common Multiple of 534,2112 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 534,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,2112) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(534,2112) x common factors =6 x 1 = 6
LCM(534,2112) = ( 534 × 2112 ) / 6
LCM(534,2112) = 1127808 / 6
LCM(534,2112) = 187968
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FAQs on GCF of Fractions of 4363/534, 4869/2112
1. What is the HCF of 4363,4869?
The HCF of 4363,4869 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 4363/534, 4869/2112?
Answer: GCF of Numerators as per given numbers 4363/534, 4869/2112 is
GCF of Numerators i.e. for 4363,4869 is 1
LCM of denominators i.e. for 534,2112 is 187968.
Thus, GCF of Fractions is 1/187968.Finally, GCF of Fractions for 4363/534, 4869/2112 is 1/187968.