GCF of 1226/623, 3888/469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1226/623, 3888/469 i.e 2/41741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1226/623, 3888/469.
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 1226/623,3888/469?
Given fractions are 1226/623,3888/469
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 1226/623,3888/469, numerators are 1226,3888
Denominators are 623,469
The GCF of 1226,3888 is 2 .
LCM of 623,469 is 41741.
The greatest common factor of 1226/623,3888/469 = [GCF of 1226,3888]/[LCM of 623,469]= 2/41741
Therefore, the GCF of 1226/623,3888/469 is 2/41741.
To find the highest common factor of 1226,3888, we have to find the factors of both numbers and list the highest common factor.
The factors of 1226 are 1, 2, 613, 1226
The factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888
The HCF of 1226,3888 is 2.
Lets's calculate GCF of 1226,3888
| 2 | 1226, 3888 |
| 613, 1944 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1226,3888 By Matching Biggest Common Factor Method
Now, list down the factors of 1226
:1,2,613,1226
Now, list down the factors of 3888
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888
Greatest Common Factor
We found the factors 1226,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 1226,3888 is 2.
Lets's calculate LCM of 623,469
| 7 | 623, 469 |
| 89, 67 |
∴ So the LCM of the given numbers is 7 x 89 x 67 = 41741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41741
Therefore, the GCF of Fractions 1226/623,3888/469 is 2/41741
Least Common Multiple of 623,469 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 623,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,469) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,469) x common factors =7 x 1 = 7
LCM(623,469) = ( 623 × 469 ) / 7
LCM(623,469) = 292187 / 7
LCM(623,469) = 41741
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FAQs on GCF of Fractions of 1226/623, 3888/469
1. What is the HCF of 1226,3888?
The HCF of 1226,3888 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 1226/623, 3888/469?
Answer: GCF of Numerators as per given numbers 1226/623, 3888/469 is
GCF of Numerators i.e. for 1226,3888 is 2
LCM of denominators i.e. for 623,469 is 41741.
Thus, GCF of Fractions is 2/41741.Finally, GCF of Fractions for 1226/623, 3888/469 is 2/41741.