GCF of 6470/119, 4220/2385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6470/119, 4220/2385 i.e 10/283815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6470/119, 4220/2385.
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 6470/119,4220/2385?
Given fractions are 6470/119,4220/2385
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 6470/119,4220/2385, numerators are 6470,4220
Denominators are 119,2385
The GCF of 6470,4220 is 10 .
LCM of 119,2385 is 283815.
The greatest common factor of 6470/119,4220/2385 = [GCF of 6470,4220]/[LCM of 119,2385]= 10/283815
Therefore, the GCF of 6470/119,4220/2385 is 10/283815.
To find the highest common factor of 6470,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 6470,4220 is 10.
Lets's calculate GCF of 6470,4220
| 2 | 6470, 4220 |
| 5 | 3235, 2110 |
| 647, 422 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6470,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 6470
:1,2,5,10,647,1294,3235,6470
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 6470,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 6470,4220 is 10.
Lets's calculate LCM of 119,2385
Given numbers has no common factors except 1. So, there LCM is their product i.e 283815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/283815
Therefore, the GCF of Fractions 6470/119,4220/2385 is 10/283815
Least Common Multiple of 119,2385 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 119,2385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,2385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,2385) x common factors =1 x 1 = 1
LCM(119,2385) = ( 119 × 2385 ) / 1
LCM(119,2385) = 283815 / 1
LCM(119,2385) = 283815
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FAQs on GCF of Fractions of 6470/119, 4220/2385
1. What is the HCF of 6470,4220?
The HCF of 6470,4220 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 6470/119, 4220/2385?
Answer: GCF of Numerators as per given numbers 6470/119, 4220/2385 is
GCF of Numerators i.e. for 6470,4220 is 10
LCM of denominators i.e. for 119,2385 is 283815.
Thus, GCF of Fractions is 10/283815.Finally, GCF of Fractions for 6470/119, 4220/2385 is 10/283815.