GCF of 4690/385, 9610/7027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4690/385, 9610/7027 i.e 10/2705395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4690/385, 9610/7027.
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 4690/385,9610/7027?
Given fractions are 4690/385,9610/7027
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 4690/385,9610/7027, numerators are 4690,9610
Denominators are 385,7027
The GCF of 4690,9610 is 10 .
LCM of 385,7027 is 2705395.
The greatest common factor of 4690/385,9610/7027 = [GCF of 4690,9610]/[LCM of 385,7027]= 10/2705395
Therefore, the GCF of 4690/385,9610/7027 is 10/2705395.
To find the highest common factor of 4690,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 4690,9610 is 10.
Lets's calculate GCF of 4690,9610
| 2 | 4690, 9610 |
| 5 | 2345, 4805 |
| 469, 961 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4690,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 4690
:1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 4690,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,9610 is 10.
Lets's calculate LCM of 385,7027
Given numbers has no common factors except 1. So, there LCM is their product i.e 2705395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2705395
Therefore, the GCF of Fractions 4690/385,9610/7027 is 10/2705395
Least Common Multiple of 385,7027 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 385,7027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7027) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7027) x common factors =1 x 1 = 1
LCM(385,7027) = ( 385 × 7027 ) / 1
LCM(385,7027) = 2705395 / 1
LCM(385,7027) = 2705395
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FAQs on GCF of Fractions of 4690/385, 9610/7027
1. What is the HCF of 4690,9610?
The HCF of 4690,9610 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 4690/385, 9610/7027?
Answer: GCF of Numerators as per given numbers 4690/385, 9610/7027 is
GCF of Numerators i.e. for 4690,9610 is 10
LCM of denominators i.e. for 385,7027 is 2705395.
Thus, GCF of Fractions is 10/2705395.Finally, GCF of Fractions for 4690/385, 9610/7027 is 10/2705395.