GCF of 457/79, 272/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/79, 272/421 i.e 1/33259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/79, 272/421.
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 457/79,272/421?
Given fractions are 457/79,272/421
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 457/79,272/421, numerators are 457,272
Denominators are 79,421
The GCF of 457,272 is 1 .
LCM of 79,421 is 33259.
The greatest common factor of 457/79,272/421 = [GCF of 457,272]/[LCM of 79,421]= 1/33259
Therefore, the GCF of 457/79,272/421 is 1/33259.
To find the highest common factor of 457,272, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The HCF of 457,272 is 1.
Lets's calculate GCF of 457,272
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,272 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 457,272 . The biggest common factor number is the GCF number.
So the greatest common factor 457,272 is 1.
Lets's calculate LCM of 79,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 33259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33259
Therefore, the GCF of Fractions 457/79,272/421 is 1/33259
Least Common Multiple of 79,421 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 79,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,421) x common factors =1 x 1 = 1
LCM(79,421) = ( 79 × 421 ) / 1
LCM(79,421) = 33259 / 1
LCM(79,421) = 33259
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FAQs on GCF of Fractions of 457/79, 272/421
1. What is the HCF of 457,272?
The HCF of 457,272 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 457/79, 272/421?
Answer: GCF of Numerators as per given numbers 457/79, 272/421 is
GCF of Numerators i.e. for 457,272 is 1
LCM of denominators i.e. for 79,421 is 33259.
Thus, GCF of Fractions is 1/33259.Finally, GCF of Fractions for 457/79, 272/421 is 1/33259.