GCF of 9426/205, 9845/6475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9426/205, 9845/6475 i.e 1/265475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9426/205, 9845/6475.
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 9426/205,9845/6475?
Given fractions are 9426/205,9845/6475
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 9426/205,9845/6475, numerators are 9426,9845
Denominators are 205,6475
The GCF of 9426,9845 is 1 .
LCM of 205,6475 is 265475.
The greatest common factor of 9426/205,9845/6475 = [GCF of 9426,9845]/[LCM of 205,6475]= 1/265475
Therefore, the GCF of 9426/205,9845/6475 is 1/265475.
To find the highest common factor of 9426,9845, we have to find the factors of both numbers and list the highest common factor.
The factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The HCF of 9426,9845 is 1.
Lets's calculate GCF of 9426,9845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9426,9845 By Matching Biggest Common Factor Method
Now, list down the factors of 9426
:1,2,3,6,1571,3142,4713,9426
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 9426,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 9426,9845 is 1.
Lets's calculate LCM of 205,6475
| 5 | 205, 6475 |
| 41, 1295 |
∴ So the LCM of the given numbers is 5 x 41 x 1295 = 265475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265475
Therefore, the GCF of Fractions 9426/205,9845/6475 is 1/265475
Least Common Multiple of 205,6475 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 205,6475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,6475) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,6475) x common factors =5 x 1 = 5
LCM(205,6475) = ( 205 × 6475 ) / 5
LCM(205,6475) = 1327375 / 5
LCM(205,6475) = 265475
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FAQs on GCF of Fractions of 9426/205, 9845/6475
1. What is the HCF of 9426,9845?
The HCF of 9426,9845 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 9426/205, 9845/6475?
Answer: GCF of Numerators as per given numbers 9426/205, 9845/6475 is
GCF of Numerators i.e. for 9426,9845 is 1
LCM of denominators i.e. for 205,6475 is 265475.
Thus, GCF of Fractions is 1/265475.Finally, GCF of Fractions for 9426/205, 9845/6475 is 1/265475.