GCF of 9282/890, 6331/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9282/890, 6331/7946 i.e 13/3535970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9282/890, 6331/7946.
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 9282/890,6331/7946?
Given fractions are 9282/890,6331/7946
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 9282/890,6331/7946, numerators are 9282,6331
Denominators are 890,7946
The GCF of 9282,6331 is 13 .
LCM of 890,7946 is 3535970.
The greatest common factor of 9282/890,6331/7946 = [GCF of 9282,6331]/[LCM of 890,7946]= 13/3535970
Therefore, the GCF of 9282/890,6331/7946 is 13/3535970.
To find the highest common factor of 9282,6331, we have to find the factors of both numbers and list the highest common factor.
The factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282
The factors of 6331 are 1, 13, 487, 6331
The HCF of 9282,6331 is 13.
Lets's calculate GCF of 9282,6331
| 13 | 9282, 6331 |
| 714, 487 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9282,6331 By Matching Biggest Common Factor Method
Now, list down the factors of 9282
:1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282
Now, list down the factors of 6331
:1,13,487,6331
Greatest Common Factor
We found the factors 9282,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 9282,6331 is 13.
Lets's calculate LCM of 890,7946
| 2 | 890, 7946 |
| 445, 3973 |
∴ So the LCM of the given numbers is 2 x 445 x 3973 = 3535970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3535970
Therefore, the GCF of Fractions 9282/890,6331/7946 is 13/3535970
Least Common Multiple of 890,7946 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 890,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,7946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,7946) x common factors =2 x 1 = 2
LCM(890,7946) = ( 890 × 7946 ) / 2
LCM(890,7946) = 7071940 / 2
LCM(890,7946) = 3535970
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FAQs on GCF of Fractions of 9282/890, 6331/7946
1. What is the HCF of 9282,6331?
The HCF of 9282,6331 is 13
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 9282/890, 6331/7946?
Answer: GCF of Numerators as per given numbers 9282/890, 6331/7946 is
GCF of Numerators i.e. for 9282,6331 is 13
LCM of denominators i.e. for 890,7946 is 3535970.
Thus, GCF of Fractions is 13/3535970.Finally, GCF of Fractions for 9282/890, 6331/7946 is 13/3535970.