GCF of 6090/462, 7042/5136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6090/462, 7042/5136 i.e 14/395472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6090/462, 7042/5136.
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 6090/462,7042/5136?
Given fractions are 6090/462,7042/5136
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 6090/462,7042/5136, numerators are 6090,7042
Denominators are 462,5136
The GCF of 6090,7042 is 14 .
LCM of 462,5136 is 395472.
The greatest common factor of 6090/462,7042/5136 = [GCF of 6090,7042]/[LCM of 462,5136]= 14/395472
Therefore, the GCF of 6090/462,7042/5136 is 14/395472.
To find the highest common factor of 6090,7042, we have to find the factors of both numbers and list the highest common factor.
The factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090
The factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042
The HCF of 6090,7042 is 14.
Lets's calculate GCF of 6090,7042
| 2 | 6090, 7042 |
| 7 | 3045, 3521 |
| 435, 503 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6090,7042 By Matching Biggest Common Factor Method
Now, list down the factors of 6090
:1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Now, list down the factors of 7042
:1,2,7,14,503,1006,3521,7042
Greatest Common Factor
We found the factors 6090,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 6090,7042 is 14.
Lets's calculate LCM of 462,5136
| 2 | 462, 5136 |
| 3 | 231, 2568 |
| 77, 856 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 856 = 395472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/395472
Therefore, the GCF of Fractions 6090/462,7042/5136 is 14/395472
Least Common Multiple of 462,5136 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 462,5136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5136) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5136) x common factors =6 x 1 = 6
LCM(462,5136) = ( 462 × 5136 ) / 6
LCM(462,5136) = 2372832 / 6
LCM(462,5136) = 395472
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FAQs on GCF of Fractions of 6090/462, 7042/5136
1. What is the HCF of 6090,7042?
The HCF of 6090,7042 is 14
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 6090/462, 7042/5136?
Answer: GCF of Numerators as per given numbers 6090/462, 7042/5136 is
GCF of Numerators i.e. for 6090,7042 is 14
LCM of denominators i.e. for 462,5136 is 395472.
Thus, GCF of Fractions is 14/395472.Finally, GCF of Fractions for 6090/462, 7042/5136 is 14/395472.