GCF of 4490/658, 9475/5866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4490/658, 9475/5866 i.e 5/275702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4490/658, 9475/5866.
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 4490/658,9475/5866?
Given fractions are 4490/658,9475/5866
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 4490/658,9475/5866, numerators are 4490,9475
Denominators are 658,5866
The GCF of 4490,9475 is 5 .
LCM of 658,5866 is 275702.
The greatest common factor of 4490/658,9475/5866 = [GCF of 4490,9475]/[LCM of 658,5866]= 5/275702
Therefore, the GCF of 4490/658,9475/5866 is 5/275702.
To find the highest common factor of 4490,9475, we have to find the factors of both numbers and list the highest common factor.
The factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490
The factors of 9475 are 1, 5, 25, 379, 1895, 9475
The HCF of 4490,9475 is 5.
Lets's calculate GCF of 4490,9475
| 5 | 4490, 9475 |
| 898, 1895 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4490,9475 By Matching Biggest Common Factor Method
Now, list down the factors of 4490
:1,2,5,10,449,898,2245,4490
Now, list down the factors of 9475
:1,5,25,379,1895,9475
Greatest Common Factor
We found the factors 4490,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 4490,9475 is 5.
Lets's calculate LCM of 658,5866
| 2 | 658, 5866 |
| 7 | 329, 2933 |
| 47, 419 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 419 = 275702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/275702
Therefore, the GCF of Fractions 4490/658,9475/5866 is 5/275702
Least Common Multiple of 658,5866 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 658,5866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,5866) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(658,5866) x common factors =14 x 1 = 14
LCM(658,5866) = ( 658 × 5866 ) / 14
LCM(658,5866) = 3859828 / 14
LCM(658,5866) = 275702
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FAQs on GCF of Fractions of 4490/658, 9475/5866
1. What is the HCF of 4490,9475?
The HCF of 4490,9475 is 5
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 4490/658, 9475/5866?
Answer: GCF of Numerators as per given numbers 4490/658, 9475/5866 is
GCF of Numerators i.e. for 4490,9475 is 5
LCM of denominators i.e. for 658,5866 is 275702.
Thus, GCF of Fractions is 5/275702.Finally, GCF of Fractions for 4490/658, 9475/5866 is 5/275702.