GCF of 9282/456, 6466/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9282/456, 6466/2912 i.e 2/165984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9282/456, 6466/2912.
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 9282/456,6466/2912?
Given fractions are 9282/456,6466/2912
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 9282/456,6466/2912, numerators are 9282,6466
Denominators are 456,2912
The GCF of 9282,6466 is 2 .
LCM of 456,2912 is 165984.
The greatest common factor of 9282/456,6466/2912 = [GCF of 9282,6466]/[LCM of 456,2912]= 2/165984
Therefore, the GCF of 9282/456,6466/2912 is 2/165984.
To find the highest common factor of 9282,6466, 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 6466 are 1, 2, 53, 61, 106, 122, 3233, 6466
The HCF of 9282,6466 is 2.
Lets's calculate GCF of 9282,6466
| 2 | 9282, 6466 |
| 4641, 3233 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9282,6466 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 6466
:1,2,53,61,106,122,3233,6466
Greatest Common Factor
We found the factors 9282,6466 . The biggest common factor number is the GCF number.
So the greatest common factor 9282,6466 is 2.
Lets's calculate LCM of 456,2912
| 2 | 456, 2912 |
| 2 | 228, 1456 |
| 2 | 114, 728 |
| 57, 364 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 57 x 364 = 165984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165984
Therefore, the GCF of Fractions 9282/456,6466/2912 is 2/165984
Least Common Multiple of 456,2912 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 456,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,2912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(456,2912) x common factors =8 x 1 = 8
LCM(456,2912) = ( 456 × 2912 ) / 8
LCM(456,2912) = 1327872 / 8
LCM(456,2912) = 165984
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FAQs on GCF of Fractions of 9282/456, 6466/2912
1. What is the HCF of 9282,6466?
The HCF of 9282,6466 is 2
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 9282/456, 6466/2912?
Answer: GCF of Numerators as per given numbers 9282/456, 6466/2912 is
GCF of Numerators i.e. for 9282,6466 is 2
LCM of denominators i.e. for 456,2912 is 165984.
Thus, GCF of Fractions is 2/165984.Finally, GCF of Fractions for 9282/456, 6466/2912 is 2/165984.