GCF of 1608/463, 4269/1972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1608/463, 4269/1972 i.e 3/913036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1608/463, 4269/1972.
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 1608/463,4269/1972?
Given fractions are 1608/463,4269/1972
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 1608/463,4269/1972, numerators are 1608,4269
Denominators are 463,1972
The GCF of 1608,4269 is 3 .
LCM of 463,1972 is 913036.
The greatest common factor of 1608/463,4269/1972 = [GCF of 1608,4269]/[LCM of 463,1972]= 3/913036
Therefore, the GCF of 1608/463,4269/1972 is 3/913036.
To find the highest common factor of 1608,4269, we have to find the factors of both numbers and list the highest common factor.
The factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
The factors of 4269 are 1, 3, 1423, 4269
The HCF of 1608,4269 is 3.
Lets's calculate GCF of 1608,4269
| 3 | 1608, 4269 |
| 536, 1423 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1608,4269 By Matching Biggest Common Factor Method
Now, list down the factors of 1608
:1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Now, list down the factors of 4269
:1,3,1423,4269
Greatest Common Factor
We found the factors 1608,4269 . The biggest common factor number is the GCF number.
So the greatest common factor 1608,4269 is 3.
Lets's calculate LCM of 463,1972
Given numbers has no common factors except 1. So, there LCM is their product i.e 913036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/913036
Therefore, the GCF of Fractions 1608/463,4269/1972 is 3/913036
Least Common Multiple of 463,1972 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 463,1972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,1972) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,1972) x common factors =1 x 1 = 1
LCM(463,1972) = ( 463 × 1972 ) / 1
LCM(463,1972) = 913036 / 1
LCM(463,1972) = 913036
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FAQs on GCF of Fractions of 1608/463, 4269/1972
1. What is the HCF of 1608,4269?
The HCF of 1608,4269 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 1608/463, 4269/1972?
Answer: GCF of Numerators as per given numbers 1608/463, 4269/1972 is
GCF of Numerators i.e. for 1608,4269 is 3
LCM of denominators i.e. for 463,1972 is 913036.
Thus, GCF of Fractions is 3/913036.Finally, GCF of Fractions for 1608/463, 4269/1972 is 3/913036.