GCF of 424/67, 795/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/67, 795/269 i.e 53/18023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/67, 795/269.
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 424/67,795/269?
Given fractions are 424/67,795/269
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 424/67,795/269, numerators are 424,795
Denominators are 67,269
The GCF of 424,795 is 53 .
LCM of 67,269 is 18023.
The greatest common factor of 424/67,795/269 = [GCF of 424,795]/[LCM of 67,269]= 53/18023
Therefore, the GCF of 424/67,795/269 is 53/18023.
To find the highest common factor of 424,795, 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 795 are 1, 3, 5, 15, 53, 159, 265, 795
The HCF of 424,795 is 53.
Lets's calculate GCF of 424,795
| 53 | 424, 795 |
| 8, 15 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 424,795 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 795
:1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 424,795 . The biggest common factor number is the GCF number.
So the greatest common factor 424,795 is 53.
Lets's calculate LCM of 67,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 18023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/18023
Therefore, the GCF of Fractions 424/67,795/269 is 53/18023
Least Common Multiple of 67,269 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 67,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,269) x common factors =1 x 1 = 1
LCM(67,269) = ( 67 × 269 ) / 1
LCM(67,269) = 18023 / 1
LCM(67,269) = 18023
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FAQs on GCF of Fractions of 424/67, 795/269
1. What is the HCF of 424,795?
The HCF of 424,795 is 53
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 424/67, 795/269?
Answer: GCF of Numerators as per given numbers 424/67, 795/269 is
GCF of Numerators i.e. for 424,795 is 53
LCM of denominators i.e. for 67,269 is 18023.
Thus, GCF of Fractions is 53/18023.Finally, GCF of Fractions for 424/67, 795/269 is 53/18023.