GCF of 6475/446, 9142/6490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6475/446, 9142/6490 i.e 7/1447270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6475/446, 9142/6490.
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 6475/446,9142/6490?
Given fractions are 6475/446,9142/6490
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 6475/446,9142/6490, numerators are 6475,9142
Denominators are 446,6490
The GCF of 6475,9142 is 7 .
LCM of 446,6490 is 1447270.
The greatest common factor of 6475/446,9142/6490 = [GCF of 6475,9142]/[LCM of 446,6490]= 7/1447270
Therefore, the GCF of 6475/446,9142/6490 is 7/1447270.
To find the highest common factor of 6475,9142, we have to find the factors of both numbers and list the highest common factor.
The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475
The factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142
The HCF of 6475,9142 is 7.
Lets's calculate GCF of 6475,9142
| 7 | 6475, 9142 |
| 925, 1306 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6475,9142 By Matching Biggest Common Factor Method
Now, list down the factors of 6475
:1,5,7,25,35,37,175,185,259,925,1295,6475
Now, list down the factors of 9142
:1,2,7,14,653,1306,4571,9142
Greatest Common Factor
We found the factors 6475,9142 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,9142 is 7.
Lets's calculate LCM of 446,6490
| 2 | 446, 6490 |
| 223, 3245 |
∴ So the LCM of the given numbers is 2 x 223 x 3245 = 1447270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1447270
Therefore, the GCF of Fractions 6475/446,9142/6490 is 7/1447270
Least Common Multiple of 446,6490 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 446,6490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,6490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,6490) x common factors =2 x 1 = 2
LCM(446,6490) = ( 446 × 6490 ) / 2
LCM(446,6490) = 2894540 / 2
LCM(446,6490) = 1447270
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FAQs on GCF of Fractions of 6475/446, 9142/6490
1. What is the HCF of 6475,9142?
The HCF of 6475,9142 is 7
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 6475/446, 9142/6490?
Answer: GCF of Numerators as per given numbers 6475/446, 9142/6490 is
GCF of Numerators i.e. for 6475,9142 is 7
LCM of denominators i.e. for 446,6490 is 1447270.
Thus, GCF of Fractions is 7/1447270.Finally, GCF of Fractions for 6475/446, 9142/6490 is 7/1447270.