GCF of 6402/477, 7025/4590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6402/477, 7025/4590 i.e 1/243270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6402/477, 7025/4590.
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 6402/477,7025/4590?
Given fractions are 6402/477,7025/4590
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 6402/477,7025/4590, numerators are 6402,7025
Denominators are 477,4590
The GCF of 6402,7025 is 1 .
LCM of 477,4590 is 243270.
The greatest common factor of 6402/477,7025/4590 = [GCF of 6402,7025]/[LCM of 477,4590]= 1/243270
Therefore, the GCF of 6402/477,7025/4590 is 1/243270.
To find the highest common factor of 6402,7025, we have to find the factors of both numbers and list the highest common factor.
The factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402
The factors of 7025 are 1, 5, 25, 281, 1405, 7025
The HCF of 6402,7025 is 1.
Lets's calculate GCF of 6402,7025
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6402,7025 By Matching Biggest Common Factor Method
Now, list down the factors of 6402
:1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402
Now, list down the factors of 7025
:1,5,25,281,1405,7025
Greatest Common Factor
We found the factors 6402,7025 . The biggest common factor number is the GCF number.
So the greatest common factor 6402,7025 is 1.
Lets's calculate LCM of 477,4590
| 3 | 477, 4590 |
| 3 | 159, 1530 |
| 53, 510 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 510 = 243270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243270
Therefore, the GCF of Fractions 6402/477,7025/4590 is 1/243270
Least Common Multiple of 477,4590 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 477,4590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,4590) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(477,4590) x common factors =9 x 1 = 9
LCM(477,4590) = ( 477 × 4590 ) / 9
LCM(477,4590) = 2189430 / 9
LCM(477,4590) = 243270
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FAQs on GCF of Fractions of 6402/477, 7025/4590
1. What is the HCF of 6402,7025?
The HCF of 6402,7025 is 1
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 6402/477, 7025/4590?
Answer: GCF of Numerators as per given numbers 6402/477, 7025/4590 is
GCF of Numerators i.e. for 6402,7025 is 1
LCM of denominators i.e. for 477,4590 is 243270.
Thus, GCF of Fractions is 1/243270.Finally, GCF of Fractions for 6402/477, 7025/4590 is 1/243270.