GCF of 1475/822, 9663/7258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1475/822, 9663/7258 i.e 1/2983038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1475/822, 9663/7258.
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 1475/822,9663/7258?
Given fractions are 1475/822,9663/7258
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 1475/822,9663/7258, numerators are 1475,9663
Denominators are 822,7258
The GCF of 1475,9663 is 1 .
LCM of 822,7258 is 2983038.
The greatest common factor of 1475/822,9663/7258 = [GCF of 1475,9663]/[LCM of 822,7258]= 1/2983038
Therefore, the GCF of 1475/822,9663/7258 is 1/2983038.
To find the highest common factor of 1475,9663, we have to find the factors of both numbers and list the highest common factor.
The factors of 1475 are 1, 5, 25, 59, 295, 1475
The factors of 9663 are 1, 3, 3221, 9663
The HCF of 1475,9663 is 1.
Lets's calculate GCF of 1475,9663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1475,9663 By Matching Biggest Common Factor Method
Now, list down the factors of 1475
:1,5,25,59,295,1475
Now, list down the factors of 9663
:1,3,3221,9663
Greatest Common Factor
We found the factors 1475,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,9663 is 1.
Lets's calculate LCM of 822,7258
| 2 | 822, 7258 |
| 411, 3629 |
∴ So the LCM of the given numbers is 2 x 411 x 3629 = 2983038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2983038
Therefore, the GCF of Fractions 1475/822,9663/7258 is 1/2983038
Least Common Multiple of 822,7258 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 822,7258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7258) x common factors =2 x 1 = 2
LCM(822,7258) = ( 822 × 7258 ) / 2
LCM(822,7258) = 5966076 / 2
LCM(822,7258) = 2983038
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FAQs on GCF of Fractions of 1475/822, 9663/7258
1. What is the HCF of 1475,9663?
The HCF of 1475,9663 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 1475/822, 9663/7258?
Answer: GCF of Numerators as per given numbers 1475/822, 9663/7258 is
GCF of Numerators i.e. for 1475,9663 is 1
LCM of denominators i.e. for 822,7258 is 2983038.
Thus, GCF of Fractions is 1/2983038.Finally, GCF of Fractions for 1475/822, 9663/7258 is 1/2983038.