GCF of 5042/473, 6424/9073
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5042/473, 6424/9073 i.e 2/99803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5042/473, 6424/9073.
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 5042/473,6424/9073?
Given fractions are 5042/473,6424/9073
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 5042/473,6424/9073, numerators are 5042,6424
Denominators are 473,9073
The GCF of 5042,6424 is 2 .
LCM of 473,9073 is 99803.
The greatest common factor of 5042/473,6424/9073 = [GCF of 5042,6424]/[LCM of 473,9073]= 2/99803
Therefore, the GCF of 5042/473,6424/9073 is 2/99803.
To find the highest common factor of 5042,6424, we have to find the factors of both numbers and list the highest common factor.
The factors of 5042 are 1, 2, 2521, 5042
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The HCF of 5042,6424 is 2.
Lets's calculate GCF of 5042,6424
| 2 | 5042, 6424 |
| 2521, 3212 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5042,6424 By Matching Biggest Common Factor Method
Now, list down the factors of 5042
:1,2,2521,5042
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Greatest Common Factor
We found the factors 5042,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 5042,6424 is 2.
Lets's calculate LCM of 473,9073
| 43 | 473, 9073 |
| 11, 211 |
∴ So the LCM of the given numbers is 43 x 11 x 211 = 99803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99803
Therefore, the GCF of Fractions 5042/473,6424/9073 is 2/99803
Least Common Multiple of 473,9073 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 473,9073 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,9073) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(473,9073) x common factors =43 x 1 = 43
LCM(473,9073) = ( 473 × 9073 ) / 43
LCM(473,9073) = 4291529 / 43
LCM(473,9073) = 99803
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FAQs on GCF of Fractions of 5042/473, 6424/9073
1. What is the HCF of 5042,6424?
The HCF of 5042,6424 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 5042/473, 6424/9073?
Answer: GCF of Numerators as per given numbers 5042/473, 6424/9073 is
GCF of Numerators i.e. for 5042,6424 is 2
LCM of denominators i.e. for 473,9073 is 99803.
Thus, GCF of Fractions is 2/99803.Finally, GCF of Fractions for 5042/473, 6424/9073 is 2/99803.