GCF of 9026/282, 6640/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9026/282, 6640/614 i.e 2/86574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9026/282, 6640/614.
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 9026/282,6640/614?
Given fractions are 9026/282,6640/614
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 9026/282,6640/614, numerators are 9026,6640
Denominators are 282,614
The GCF of 9026,6640 is 2 .
LCM of 282,614 is 86574.
The greatest common factor of 9026/282,6640/614 = [GCF of 9026,6640]/[LCM of 282,614]= 2/86574
Therefore, the GCF of 9026/282,6640/614 is 2/86574.
To find the highest common factor of 9026,6640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9026 are 1, 2, 4513, 9026
The factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640
The HCF of 9026,6640 is 2.
Lets's calculate GCF of 9026,6640
| 2 | 9026, 6640 |
| 4513, 3320 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9026,6640 By Matching Biggest Common Factor Method
Now, list down the factors of 9026
:1,2,4513,9026
Now, list down the factors of 6640
:1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640
Greatest Common Factor
We found the factors 9026,6640 . The biggest common factor number is the GCF number.
So the greatest common factor 9026,6640 is 2.
Lets's calculate LCM of 282,614
| 2 | 282, 614 |
| 141, 307 |
∴ So the LCM of the given numbers is 2 x 141 x 307 = 86574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86574
Therefore, the GCF of Fractions 9026/282,6640/614 is 2/86574
Least Common Multiple of 282,614 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 282,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,614) x common factors =2 x 1 = 2
LCM(282,614) = ( 282 × 614 ) / 2
LCM(282,614) = 173148 / 2
LCM(282,614) = 86574
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FAQs on GCF of Fractions of 9026/282, 6640/614
1. What is the HCF of 9026,6640?
The HCF of 9026,6640 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 9026/282, 6640/614?
Answer: GCF of Numerators as per given numbers 9026/282, 6640/614 is
GCF of Numerators i.e. for 9026,6640 is 2
LCM of denominators i.e. for 282,614 is 86574.
Thus, GCF of Fractions is 2/86574.Finally, GCF of Fractions for 9026/282, 6640/614 is 2/86574.