GCF of 424/646, 1744/888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/646, 1744/888 i.e 8/286824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/646, 1744/888.
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 424/646,1744/888?
Given fractions are 424/646,1744/888
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 424/646,1744/888, numerators are 424,1744
Denominators are 646,888
The GCF of 424,1744 is 8 .
LCM of 646,888 is 286824.
The greatest common factor of 424/646,1744/888 = [GCF of 424,1744]/[LCM of 646,888]= 8/286824
Therefore, the GCF of 424/646,1744/888 is 8/286824.
To find the highest common factor of 424,1744, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744
The HCF of 424,1744 is 8.
Lets's calculate GCF of 424,1744
| 2 | 424, 1744 |
| 2 | 212, 872 |
| 2 | 106, 436 |
| 53, 218 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 424,1744 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 1744
:1,2,4,8,16,109,218,436,872,1744
Greatest Common Factor
We found the factors 424,1744 . The biggest common factor number is the GCF number.
So the greatest common factor 424,1744 is 8.
Lets's calculate LCM of 646,888
| 2 | 646, 888 |
| 323, 444 |
∴ So the LCM of the given numbers is 2 x 323 x 444 = 286824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/286824
Therefore, the GCF of Fractions 424/646,1744/888 is 8/286824
Least Common Multiple of 646,888 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 646,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,888) x common factors =2 x 1 = 2
LCM(646,888) = ( 646 × 888 ) / 2
LCM(646,888) = 573648 / 2
LCM(646,888) = 286824
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FAQs on GCF of Fractions of 424/646, 1744/888
1. What is the HCF of 424,1744?
The HCF of 424,1744 is 8
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 424/646, 1744/888?
Answer: GCF of Numerators as per given numbers 424/646, 1744/888 is
GCF of Numerators i.e. for 424,1744 is 8
LCM of denominators i.e. for 646,888 is 286824.
Thus, GCF of Fractions is 8/286824.Finally, GCF of Fractions for 424/646, 1744/888 is 8/286824.