GCF of 7424/389, 6492/9049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/389, 6492/9049 i.e 4/3520061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/389, 6492/9049.
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 7424/389,6492/9049?
Given fractions are 7424/389,6492/9049
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 7424/389,6492/9049, numerators are 7424,6492
Denominators are 389,9049
The GCF of 7424,6492 is 4 .
LCM of 389,9049 is 3520061.
The greatest common factor of 7424/389,6492/9049 = [GCF of 7424,6492]/[LCM of 389,9049]= 4/3520061
Therefore, the GCF of 7424/389,6492/9049 is 4/3520061.
To find the highest common factor of 7424,6492, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 6492 are 1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492
The HCF of 7424,6492 is 4.
Lets's calculate GCF of 7424,6492
| 2 | 7424, 6492 |
| 2 | 3712, 3246 |
| 1856, 1623 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7424,6492 By Matching Biggest Common Factor Method
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 6492
:1,2,3,4,6,12,541,1082,1623,2164,3246,6492
Greatest Common Factor
We found the factors 7424,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,6492 is 4.
Lets's calculate LCM of 389,9049
Given numbers has no common factors except 1. So, there LCM is their product i.e 3520061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3520061
Therefore, the GCF of Fractions 7424/389,6492/9049 is 4/3520061
Least Common Multiple of 389,9049 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 389,9049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,9049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,9049) x common factors =1 x 1 = 1
LCM(389,9049) = ( 389 × 9049 ) / 1
LCM(389,9049) = 3520061 / 1
LCM(389,9049) = 3520061
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FAQs on GCF of Fractions of 7424/389, 6492/9049
1. What is the HCF of 7424,6492?
The HCF of 7424,6492 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 7424/389, 6492/9049?
Answer: GCF of Numerators as per given numbers 7424/389, 6492/9049 is
GCF of Numerators i.e. for 7424,6492 is 4
LCM of denominators i.e. for 389,9049 is 3520061.
Thus, GCF of Fractions is 4/3520061.Finally, GCF of Fractions for 7424/389, 6492/9049 is 4/3520061.