GCF of 1567/431, 1152/6004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1567/431, 1152/6004 i.e 1/2587724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1567/431, 1152/6004.
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 1567/431,1152/6004?
Given fractions are 1567/431,1152/6004
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 1567/431,1152/6004, numerators are 1567,1152
Denominators are 431,6004
The GCF of 1567,1152 is 1 .
LCM of 431,6004 is 2587724.
The greatest common factor of 1567/431,1152/6004 = [GCF of 1567,1152]/[LCM of 431,6004]= 1/2587724
Therefore, the GCF of 1567/431,1152/6004 is 1/2587724.
To find the highest common factor of 1567,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 1567 are 1, 1567
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 1567,1152 is 1.
Lets's calculate GCF of 1567,1152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1567,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 1567
:1,1567
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 1567,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 1567,1152 is 1.
Lets's calculate LCM of 431,6004
Given numbers has no common factors except 1. So, there LCM is their product i.e 2587724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2587724
Therefore, the GCF of Fractions 1567/431,1152/6004 is 1/2587724
Least Common Multiple of 431,6004 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 431,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,6004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,6004) x common factors =1 x 1 = 1
LCM(431,6004) = ( 431 × 6004 ) / 1
LCM(431,6004) = 2587724 / 1
LCM(431,6004) = 2587724
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FAQs on GCF of Fractions of 1567/431, 1152/6004
1. What is the HCF of 1567,1152?
The HCF of 1567,1152 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 1567/431, 1152/6004?
Answer: GCF of Numerators as per given numbers 1567/431, 1152/6004 is
GCF of Numerators i.e. for 1567,1152 is 1
LCM of denominators i.e. for 431,6004 is 2587724.
Thus, GCF of Fractions is 1/2587724.Finally, GCF of Fractions for 1567/431, 1152/6004 is 1/2587724.