GCF of 7494/728, 4430/5642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7494/728, 4430/5642 i.e 2/22568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7494/728, 4430/5642.
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 7494/728,4430/5642?
Given fractions are 7494/728,4430/5642
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 7494/728,4430/5642, numerators are 7494,4430
Denominators are 728,5642
The GCF of 7494,4430 is 2 .
LCM of 728,5642 is 22568.
The greatest common factor of 7494/728,4430/5642 = [GCF of 7494,4430]/[LCM of 728,5642]= 2/22568
Therefore, the GCF of 7494/728,4430/5642 is 2/22568.
To find the highest common factor of 7494,4430, we have to find the factors of both numbers and list the highest common factor.
The factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494
The factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430
The HCF of 7494,4430 is 2.
Lets's calculate GCF of 7494,4430
| 2 | 7494, 4430 |
| 3747, 2215 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7494,4430 By Matching Biggest Common Factor Method
Now, list down the factors of 7494
:1,2,3,6,1249,2498,3747,7494
Now, list down the factors of 4430
:1,2,5,10,443,886,2215,4430
Greatest Common Factor
We found the factors 7494,4430 . The biggest common factor number is the GCF number.
So the greatest common factor 7494,4430 is 2.
Lets's calculate LCM of 728,5642
| 2 | 728, 5642 |
| 7 | 364, 2821 |
| 13 | 52, 403 |
| 4, 31 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 4 x 31 = 22568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22568
Therefore, the GCF of Fractions 7494/728,4430/5642 is 2/22568
Least Common Multiple of 728,5642 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 728,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,5642) = 182
common factors(in case of two or more numbers have common factors) = 1
GCF(728,5642) x common factors =182 x 1 = 182
LCM(728,5642) = ( 728 × 5642 ) / 182
LCM(728,5642) = 4107376 / 182
LCM(728,5642) = 22568
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FAQs on GCF of Fractions of 7494/728, 4430/5642
1. What is the HCF of 7494,4430?
The HCF of 7494,4430 is 2
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 7494/728, 4430/5642?
Answer: GCF of Numerators as per given numbers 7494/728, 4430/5642 is
GCF of Numerators i.e. for 7494,4430 is 2
LCM of denominators i.e. for 728,5642 is 22568.
Thus, GCF of Fractions is 2/22568.Finally, GCF of Fractions for 7494/728, 4430/5642 is 2/22568.