GCF of 4322/492, 6409/8608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4322/492, 6409/8608 i.e 1/1058784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4322/492, 6409/8608.
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 4322/492,6409/8608?
Given fractions are 4322/492,6409/8608
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 4322/492,6409/8608, numerators are 4322,6409
Denominators are 492,8608
The GCF of 4322,6409 is 1 .
LCM of 492,8608 is 1058784.
The greatest common factor of 4322/492,6409/8608 = [GCF of 4322,6409]/[LCM of 492,8608]= 1/1058784
Therefore, the GCF of 4322/492,6409/8608 is 1/1058784.
To find the highest common factor of 4322,6409, we have to find the factors of both numbers and list the highest common factor.
The factors of 4322 are 1, 2, 2161, 4322
The factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409
The HCF of 4322,6409 is 1.
Lets's calculate GCF of 4322,6409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4322,6409 By Matching Biggest Common Factor Method
Now, list down the factors of 4322
:1,2,2161,4322
Now, list down the factors of 6409
:1,13,17,29,221,377,493,6409
Greatest Common Factor
We found the factors 4322,6409 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,6409 is 1.
Lets's calculate LCM of 492,8608
| 2 | 492, 8608 |
| 2 | 246, 4304 |
| 123, 2152 |
∴ So the LCM of the given numbers is 2 x 2 x 123 x 2152 = 1058784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058784
Therefore, the GCF of Fractions 4322/492,6409/8608 is 1/1058784
Least Common Multiple of 492,8608 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 492,8608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,8608) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(492,8608) x common factors =4 x 1 = 4
LCM(492,8608) = ( 492 × 8608 ) / 4
LCM(492,8608) = 4235136 / 4
LCM(492,8608) = 1058784
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FAQs on GCF of Fractions of 4322/492, 6409/8608
1. What is the HCF of 4322,6409?
The HCF of 4322,6409 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 4322/492, 6409/8608?
Answer: GCF of Numerators as per given numbers 4322/492, 6409/8608 is
GCF of Numerators i.e. for 4322,6409 is 1
LCM of denominators i.e. for 492,8608 is 1058784.
Thus, GCF of Fractions is 1/1058784.Finally, GCF of Fractions for 4322/492, 6409/8608 is 1/1058784.