GCF of 3996/256, 1573/1967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3996/256, 1573/1967 i.e 1/503552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3996/256, 1573/1967.
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 3996/256,1573/1967?
Given fractions are 3996/256,1573/1967
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 3996/256,1573/1967, numerators are 3996,1573
Denominators are 256,1967
The GCF of 3996,1573 is 1 .
LCM of 256,1967 is 503552.
The greatest common factor of 3996/256,1573/1967 = [GCF of 3996,1573]/[LCM of 256,1967]= 1/503552
Therefore, the GCF of 3996/256,1573/1967 is 1/503552.
To find the highest common factor of 3996,1573, we have to find the factors of both numbers and list the highest common factor.
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The HCF of 3996,1573 is 1.
Lets's calculate GCF of 3996,1573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3996,1573 By Matching Biggest Common Factor Method
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Now, list down the factors of 1573
:1,11,13,121,143,1573
Greatest Common Factor
We found the factors 3996,1573 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,1573 is 1.
Lets's calculate LCM of 256,1967
Given numbers has no common factors except 1. So, there LCM is their product i.e 503552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503552
Therefore, the GCF of Fractions 3996/256,1573/1967 is 1/503552
Least Common Multiple of 256,1967 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 256,1967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,1967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,1967) x common factors =1 x 1 = 1
LCM(256,1967) = ( 256 × 1967 ) / 1
LCM(256,1967) = 503552 / 1
LCM(256,1967) = 503552
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FAQs on GCF of Fractions of 3996/256, 1573/1967
1. What is the HCF of 3996,1573?
The HCF of 3996,1573 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 3996/256, 1573/1967?
Answer: GCF of Numerators as per given numbers 3996/256, 1573/1967 is
GCF of Numerators i.e. for 3996,1573 is 1
LCM of denominators i.e. for 256,1967 is 503552.
Thus, GCF of Fractions is 1/503552.Finally, GCF of Fractions for 3996/256, 1573/1967 is 1/503552.