GCF of 424/162, 280/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/162, 280/242 i.e 8/19602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/162, 280/242.
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 424/162,280/242?
Given fractions are 424/162,280/242
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 424/162,280/242, numerators are 424,280
Denominators are 162,242
The GCF of 424,280 is 8 .
LCM of 162,242 is 19602.
The greatest common factor of 424/162,280/242 = [GCF of 424,280]/[LCM of 162,242]= 8/19602
Therefore, the GCF of 424/162,280/242 is 8/19602.
To find the highest common factor of 424,280, 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 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 424,280 is 8.
Lets's calculate GCF of 424,280
| 2 | 424, 280 |
| 2 | 212, 140 |
| 2 | 106, 70 |
| 53, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 424,280 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 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 424,280 . The biggest common factor number is the GCF number.
So the greatest common factor 424,280 is 8.
Lets's calculate LCM of 162,242
| 2 | 162, 242 |
| 81, 121 |
∴ So the LCM of the given numbers is 2 x 81 x 121 = 19602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/19602
Therefore, the GCF of Fractions 424/162,280/242 is 8/19602
Least Common Multiple of 162,242 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 162,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,242) x common factors =2 x 1 = 2
LCM(162,242) = ( 162 × 242 ) / 2
LCM(162,242) = 39204 / 2
LCM(162,242) = 19602
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FAQs on GCF of Fractions of 424/162, 280/242
1. What is the HCF of 424,280?
The HCF of 424,280 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 424/162, 280/242?
Answer: GCF of Numerators as per given numbers 424/162, 280/242 is
GCF of Numerators i.e. for 424,280 is 8
LCM of denominators i.e. for 162,242 is 19602.
Thus, GCF of Fractions is 8/19602.Finally, GCF of Fractions for 424/162, 280/242 is 8/19602.