GCF of 4568/457, 3492/6852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4568/457, 3492/6852 i.e 4/3131364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4568/457, 3492/6852.
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 4568/457,3492/6852?
Given fractions are 4568/457,3492/6852
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 4568/457,3492/6852, numerators are 4568,3492
Denominators are 457,6852
The GCF of 4568,3492 is 4 .
LCM of 457,6852 is 3131364.
The greatest common factor of 4568/457,3492/6852 = [GCF of 4568,3492]/[LCM of 457,6852]= 4/3131364
Therefore, the GCF of 4568/457,3492/6852 is 4/3131364.
To find the highest common factor of 4568,3492, we have to find the factors of both numbers and list the highest common factor.
The factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568
The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
The HCF of 4568,3492 is 4.
Lets's calculate GCF of 4568,3492
| 2 | 4568, 3492 |
| 2 | 2284, 1746 |
| 1142, 873 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4568,3492 By Matching Biggest Common Factor Method
Now, list down the factors of 4568
:1,2,4,8,571,1142,2284,4568
Now, list down the factors of 3492
:1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492
Greatest Common Factor
We found the factors 4568,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 4568,3492 is 4.
Lets's calculate LCM of 457,6852
Given numbers has no common factors except 1. So, there LCM is their product i.e 3131364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3131364
Therefore, the GCF of Fractions 4568/457,3492/6852 is 4/3131364
Least Common Multiple of 457,6852 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 457,6852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,6852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,6852) x common factors =1 x 1 = 1
LCM(457,6852) = ( 457 × 6852 ) / 1
LCM(457,6852) = 3131364 / 1
LCM(457,6852) = 3131364
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FAQs on GCF of Fractions of 4568/457, 3492/6852
1. What is the HCF of 4568,3492?
The HCF of 4568,3492 is 4
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 4568/457, 3492/6852?
Answer: GCF of Numerators as per given numbers 4568/457, 3492/6852 is
GCF of Numerators i.e. for 4568,3492 is 4
LCM of denominators i.e. for 457,6852 is 3131364.
Thus, GCF of Fractions is 4/3131364.Finally, GCF of Fractions for 4568/457, 3492/6852 is 4/3131364.