GCF of 4272/469, 5217/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4272/469, 5217/145 i.e 3/68005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4272/469, 5217/145.
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 4272/469,5217/145?
Given fractions are 4272/469,5217/145
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 4272/469,5217/145, numerators are 4272,5217
Denominators are 469,145
The GCF of 4272,5217 is 3 .
LCM of 469,145 is 68005.
The greatest common factor of 4272/469,5217/145 = [GCF of 4272,5217]/[LCM of 469,145]= 3/68005
Therefore, the GCF of 4272/469,5217/145 is 3/68005.
To find the highest common factor of 4272,5217, we have to find the factors of both numbers and list the highest common factor.
The factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The HCF of 4272,5217 is 3.
Lets's calculate GCF of 4272,5217
| 3 | 4272, 5217 |
| 1424, 1739 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4272,5217 By Matching Biggest Common Factor Method
Now, list down the factors of 4272
:1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Greatest Common Factor
We found the factors 4272,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 4272,5217 is 3.
Lets's calculate LCM of 469,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 68005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/68005
Therefore, the GCF of Fractions 4272/469,5217/145 is 3/68005
Least Common Multiple of 469,145 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 469,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,145) x common factors =1 x 1 = 1
LCM(469,145) = ( 469 × 145 ) / 1
LCM(469,145) = 68005 / 1
LCM(469,145) = 68005
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FAQs on GCF of Fractions of 4272/469, 5217/145
1. What is the HCF of 4272,5217?
The HCF of 4272,5217 is 3
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 4272/469, 5217/145?
Answer: GCF of Numerators as per given numbers 4272/469, 5217/145 is
GCF of Numerators i.e. for 4272,5217 is 3
LCM of denominators i.e. for 469,145 is 68005.
Thus, GCF of Fractions is 3/68005.Finally, GCF of Fractions for 4272/469, 5217/145 is 3/68005.