GCF of 449/611, 4368/2170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/611, 4368/2170 i.e 1/1325870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/611, 4368/2170.
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 449/611,4368/2170?
Given fractions are 449/611,4368/2170
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 449/611,4368/2170, numerators are 449,4368
Denominators are 611,2170
The GCF of 449,4368 is 1 .
LCM of 611,2170 is 1325870.
The greatest common factor of 449/611,4368/2170 = [GCF of 449,4368]/[LCM of 611,2170]= 1/1325870
Therefore, the GCF of 449/611,4368/2170 is 1/1325870.
To find the highest common factor of 449,4368, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368
The HCF of 449,4368 is 1.
Lets's calculate GCF of 449,4368
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,4368 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 4368
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368
Greatest Common Factor
We found the factors 449,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 449,4368 is 1.
Lets's calculate LCM of 611,2170
Given numbers has no common factors except 1. So, there LCM is their product i.e 1325870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1325870
Therefore, the GCF of Fractions 449/611,4368/2170 is 1/1325870
Least Common Multiple of 611,2170 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 611,2170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,2170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,2170) x common factors =1 x 1 = 1
LCM(611,2170) = ( 611 × 2170 ) / 1
LCM(611,2170) = 1325870 / 1
LCM(611,2170) = 1325870
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FAQs on GCF of Fractions of 449/611, 4368/2170
1. What is the HCF of 449,4368?
The HCF of 449,4368 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 449/611, 4368/2170?
Answer: GCF of Numerators as per given numbers 449/611, 4368/2170 is
GCF of Numerators i.e. for 449,4368 is 1
LCM of denominators i.e. for 611,2170 is 1325870.
Thus, GCF of Fractions is 1/1325870.Finally, GCF of Fractions for 449/611, 4368/2170 is 1/1325870.