GCF of 926/414, 3024/402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 926/414, 3024/402 i.e 2/27738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/414, 3024/402.
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 926/414,3024/402?
Given fractions are 926/414,3024/402
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 926/414,3024/402, numerators are 926,3024
Denominators are 414,402
The GCF of 926,3024 is 2 .
LCM of 414,402 is 27738.
The greatest common factor of 926/414,3024/402 = [GCF of 926,3024]/[LCM of 414,402]= 2/27738
Therefore, the GCF of 926/414,3024/402 is 2/27738.
To find the highest common factor of 926,3024, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The HCF of 926,3024 is 2.
Lets's calculate GCF of 926,3024
| 2 | 926, 3024 |
| 463, 1512 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 926,3024 By Matching Biggest Common Factor Method
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Greatest Common Factor
We found the factors 926,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 926,3024 is 2.
Lets's calculate LCM of 414,402
| 2 | 414, 402 |
| 3 | 207, 201 |
| 69, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 67 = 27738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27738
Therefore, the GCF of Fractions 926/414,3024/402 is 2/27738
Least Common Multiple of 414,402 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 414,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,402) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,402) x common factors =6 x 1 = 6
LCM(414,402) = ( 414 × 402 ) / 6
LCM(414,402) = 166428 / 6
LCM(414,402) = 27738
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FAQs on GCF of Fractions of 926/414, 3024/402
1. What is the HCF of 926,3024?
The HCF of 926,3024 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 926/414, 3024/402?
Answer: GCF of Numerators as per given numbers 926/414, 3024/402 is
GCF of Numerators i.e. for 926,3024 is 2
LCM of denominators i.e. for 414,402 is 27738.
Thus, GCF of Fractions is 2/27738.Finally, GCF of Fractions for 926/414, 3024/402 is 2/27738.