GCF of 2664/784, 1628/9416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2664/784, 1628/9416 i.e 148/922768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2664/784, 1628/9416.
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 2664/784,1628/9416?
Given fractions are 2664/784,1628/9416
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 2664/784,1628/9416, numerators are 2664,1628
Denominators are 784,9416
The GCF of 2664,1628 is 148 .
LCM of 784,9416 is 922768.
The greatest common factor of 2664/784,1628/9416 = [GCF of 2664,1628]/[LCM of 784,9416]= 148/922768
Therefore, the GCF of 2664/784,1628/9416 is 148/922768.
To find the highest common factor of 2664,1628, we have to find the factors of both numbers and list the highest common factor.
The factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664
The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
The HCF of 2664,1628 is 148.
Lets's calculate GCF of 2664,1628
| 2 | 2664, 1628 |
| 2 | 1332, 814 |
| 37 | 666, 407 |
| 18, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 37 = 148
Greatest Common Factor of 2664,1628 By Matching Biggest Common Factor Method
Now, list down the factors of 2664
:1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Now, list down the factors of 1628
:1,2,4,11,22,37,44,74,148,407,814,1628
Greatest Common Factor
We found the factors 2664,1628 . The biggest common factor number is the GCF number.
So the greatest common factor 2664,1628 is 148.
Lets's calculate LCM of 784,9416
| 2 | 784, 9416 |
| 2 | 392, 4708 |
| 2 | 196, 2354 |
| 98, 1177 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 1177 = 922768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 148/922768
Therefore, the GCF of Fractions 2664/784,1628/9416 is 148/922768
Least Common Multiple of 784,9416 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 784,9416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,9416) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(784,9416) x common factors =8 x 1 = 8
LCM(784,9416) = ( 784 × 9416 ) / 8
LCM(784,9416) = 7382144 / 8
LCM(784,9416) = 922768
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FAQs on GCF of Fractions of 2664/784, 1628/9416
1. What is the HCF of 2664,1628?
The HCF of 2664,1628 is 148
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 2664/784, 1628/9416?
Answer: GCF of Numerators as per given numbers 2664/784, 1628/9416 is
GCF of Numerators i.e. for 2664,1628 is 148
LCM of denominators i.e. for 784,9416 is 922768.
Thus, GCF of Fractions is 148/922768.Finally, GCF of Fractions for 2664/784, 1628/9416 is 148/922768.