GCF of 1032/648, 1789/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1032/648, 1789/343 i.e 1/222264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1032/648, 1789/343.
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 1032/648,1789/343?
Given fractions are 1032/648,1789/343
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 1032/648,1789/343, numerators are 1032,1789
Denominators are 648,343
The GCF of 1032,1789 is 1 .
LCM of 648,343 is 222264.
The greatest common factor of 1032/648,1789/343 = [GCF of 1032,1789]/[LCM of 648,343]= 1/222264
Therefore, the GCF of 1032/648,1789/343 is 1/222264.
To find the highest common factor of 1032,1789, we have to find the factors of both numbers and list the highest common factor.
The factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032
The factors of 1789 are 1, 1789
The HCF of 1032,1789 is 1.
Lets's calculate GCF of 1032,1789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1032,1789 By Matching Biggest Common Factor Method
Now, list down the factors of 1032
:1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032
Now, list down the factors of 1789
:1,1789
Greatest Common Factor
We found the factors 1032,1789 . The biggest common factor number is the GCF number.
So the greatest common factor 1032,1789 is 1.
Lets's calculate LCM of 648,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 222264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222264
Therefore, the GCF of Fractions 1032/648,1789/343 is 1/222264
Least Common Multiple of 648,343 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 648,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,343) x common factors =1 x 1 = 1
LCM(648,343) = ( 648 × 343 ) / 1
LCM(648,343) = 222264 / 1
LCM(648,343) = 222264
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FAQs on GCF of Fractions of 1032/648, 1789/343
1. What is the HCF of 1032,1789?
The HCF of 1032,1789 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 1032/648, 1789/343?
Answer: GCF of Numerators as per given numbers 1032/648, 1789/343 is
GCF of Numerators i.e. for 1032,1789 is 1
LCM of denominators i.e. for 648,343 is 222264.
Thus, GCF of Fractions is 1/222264.Finally, GCF of Fractions for 1032/648, 1789/343 is 1/222264.