GCF of 4670/357, 6090/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4670/357, 6090/418 i.e 10/149226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4670/357, 6090/418.
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 4670/357,6090/418?
Given fractions are 4670/357,6090/418
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 4670/357,6090/418, numerators are 4670,6090
Denominators are 357,418
The GCF of 4670,6090 is 10 .
LCM of 357,418 is 149226.
The greatest common factor of 4670/357,6090/418 = [GCF of 4670,6090]/[LCM of 357,418]= 10/149226
Therefore, the GCF of 4670/357,6090/418 is 10/149226.
To find the highest common factor of 4670,6090, we have to find the factors of both numbers and list the highest common factor.
The factors of 4670 are 1, 2, 5, 10, 467, 934, 2335, 4670
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 HCF of 4670,6090 is 10.
Lets's calculate GCF of 4670,6090
| 2 | 4670, 6090 |
| 5 | 2335, 3045 |
| 467, 609 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4670,6090 By Matching Biggest Common Factor Method
Now, list down the factors of 4670
:1,2,5,10,467,934,2335,4670
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
Greatest Common Factor
We found the factors 4670,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 4670,6090 is 10.
Lets's calculate LCM of 357,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 149226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/149226
Therefore, the GCF of Fractions 4670/357,6090/418 is 10/149226
Least Common Multiple of 357,418 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 357,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,418) x common factors =1 x 1 = 1
LCM(357,418) = ( 357 × 418 ) / 1
LCM(357,418) = 149226 / 1
LCM(357,418) = 149226
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FAQs on GCF of Fractions of 4670/357, 6090/418
1. What is the HCF of 4670,6090?
The HCF of 4670,6090 is 10
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 4670/357, 6090/418?
Answer: GCF of Numerators as per given numbers 4670/357, 6090/418 is
GCF of Numerators i.e. for 4670,6090 is 10
LCM of denominators i.e. for 357,418 is 149226.
Thus, GCF of Fractions is 10/149226.Finally, GCF of Fractions for 4670/357, 6090/418 is 10/149226.