GCF of 9297/146, 3040/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9297/146, 3040/890 i.e 1/64970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9297/146, 3040/890.
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 9297/146,3040/890?
Given fractions are 9297/146,3040/890
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 9297/146,3040/890, numerators are 9297,3040
Denominators are 146,890
The GCF of 9297,3040 is 1 .
LCM of 146,890 is 64970.
The greatest common factor of 9297/146,3040/890 = [GCF of 9297,3040]/[LCM of 146,890]= 1/64970
Therefore, the GCF of 9297/146,3040/890 is 1/64970.
To find the highest common factor of 9297,3040, we have to find the factors of both numbers and list the highest common factor.
The factors of 9297 are 1, 3, 9, 1033, 3099, 9297
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
The HCF of 9297,3040 is 1.
Lets's calculate GCF of 9297,3040
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9297,3040 By Matching Biggest Common Factor Method
Now, list down the factors of 9297
:1,3,9,1033,3099,9297
Now, list down the factors of 3040
:1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040
Greatest Common Factor
We found the factors 9297,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 9297,3040 is 1.
Lets's calculate LCM of 146,890
| 2 | 146, 890 |
| 73, 445 |
∴ So the LCM of the given numbers is 2 x 73 x 445 = 64970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64970
Therefore, the GCF of Fractions 9297/146,3040/890 is 1/64970
Least Common Multiple of 146,890 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 146,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,890) x common factors =2 x 1 = 2
LCM(146,890) = ( 146 × 890 ) / 2
LCM(146,890) = 129940 / 2
LCM(146,890) = 64970
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FAQs on GCF of Fractions of 9297/146, 3040/890
1. What is the HCF of 9297,3040?
The HCF of 9297,3040 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 9297/146, 3040/890?
Answer: GCF of Numerators as per given numbers 9297/146, 3040/890 is
GCF of Numerators i.e. for 9297,3040 is 1
LCM of denominators i.e. for 146,890 is 64970.
Thus, GCF of Fractions is 1/64970.Finally, GCF of Fractions for 9297/146, 3040/890 is 1/64970.