GCF of 2164/926, 3680/9048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2164/926, 3680/9048 i.e 4/4189224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2164/926, 3680/9048.
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 2164/926,3680/9048?
Given fractions are 2164/926,3680/9048
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 2164/926,3680/9048, numerators are 2164,3680
Denominators are 926,9048
The GCF of 2164,3680 is 4 .
LCM of 926,9048 is 4189224.
The greatest common factor of 2164/926,3680/9048 = [GCF of 2164,3680]/[LCM of 926,9048]= 4/4189224
Therefore, the GCF of 2164/926,3680/9048 is 4/4189224.
To find the highest common factor of 2164,3680, we have to find the factors of both numbers and list the highest common factor.
The factors of 2164 are 1, 2, 4, 541, 1082, 2164
The factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680
The HCF of 2164,3680 is 4.
Lets's calculate GCF of 2164,3680
| 2 | 2164, 3680 |
| 2 | 1082, 1840 |
| 541, 920 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2164,3680 By Matching Biggest Common Factor Method
Now, list down the factors of 2164
:1,2,4,541,1082,2164
Now, list down the factors of 3680
:1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680
Greatest Common Factor
We found the factors 2164,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 2164,3680 is 4.
Lets's calculate LCM of 926,9048
| 2 | 926, 9048 |
| 463, 4524 |
∴ So the LCM of the given numbers is 2 x 463 x 4524 = 4189224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4189224
Therefore, the GCF of Fractions 2164/926,3680/9048 is 4/4189224
Least Common Multiple of 926,9048 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 926,9048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,9048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(926,9048) x common factors =2 x 1 = 2
LCM(926,9048) = ( 926 × 9048 ) / 2
LCM(926,9048) = 8378448 / 2
LCM(926,9048) = 4189224
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FAQs on GCF of Fractions of 2164/926, 3680/9048
1. What is the HCF of 2164,3680?
The HCF of 2164,3680 is 4
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 2164/926, 3680/9048?
Answer: GCF of Numerators as per given numbers 2164/926, 3680/9048 is
GCF of Numerators i.e. for 2164,3680 is 4
LCM of denominators i.e. for 926,9048 is 4189224.
Thus, GCF of Fractions is 4/4189224.Finally, GCF of Fractions for 2164/926, 3680/9048 is 4/4189224.