GCF of 467/509, 168/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 467/509, 168/420 i.e 1/213780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/509, 168/420.
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 467/509,168/420?
Given fractions are 467/509,168/420
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 467/509,168/420, numerators are 467,168
Denominators are 509,420
The GCF of 467,168 is 1 .
LCM of 509,420 is 213780.
The greatest common factor of 467/509,168/420 = [GCF of 467,168]/[LCM of 509,420]= 1/213780
Therefore, the GCF of 467/509,168/420 is 1/213780.
To find the highest common factor of 467,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 467,168 is 1.
Lets's calculate GCF of 467,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 467,168 By Matching Biggest Common Factor Method
Now, list down the factors of 467
:1,467
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 467,168 . The biggest common factor number is the GCF number.
So the greatest common factor 467,168 is 1.
Lets's calculate LCM of 509,420
Given numbers has no common factors except 1. So, there LCM is their product i.e 213780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213780
Therefore, the GCF of Fractions 467/509,168/420 is 1/213780
Least Common Multiple of 509,420 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 509,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,420) x common factors =1 x 1 = 1
LCM(509,420) = ( 509 × 420 ) / 1
LCM(509,420) = 213780 / 1
LCM(509,420) = 213780
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FAQs on GCF of Fractions of 467/509, 168/420
1. What is the HCF of 467,168?
The HCF of 467,168 is 1
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 467/509, 168/420?
Answer: GCF of Numerators as per given numbers 467/509, 168/420 is
GCF of Numerators i.e. for 467,168 is 1
LCM of denominators i.e. for 509,420 is 213780.
Thus, GCF of Fractions is 1/213780.Finally, GCF of Fractions for 467/509, 168/420 is 1/213780.