GCF of 7876/193, 1029/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7876/193, 1029/164 i.e 1/31652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7876/193, 1029/164.
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 7876/193,1029/164?
Given fractions are 7876/193,1029/164
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 7876/193,1029/164, numerators are 7876,1029
Denominators are 193,164
The GCF of 7876,1029 is 1 .
LCM of 193,164 is 31652.
The greatest common factor of 7876/193,1029/164 = [GCF of 7876,1029]/[LCM of 193,164]= 1/31652
Therefore, the GCF of 7876/193,1029/164 is 1/31652.
To find the highest common factor of 7876,1029, we have to find the factors of both numbers and list the highest common factor.
The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876
The factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029
The HCF of 7876,1029 is 1.
Lets's calculate GCF of 7876,1029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7876,1029 By Matching Biggest Common Factor Method
Now, list down the factors of 7876
:1,2,4,11,22,44,179,358,716,1969,3938,7876
Now, list down the factors of 1029
:1,3,7,21,49,147,343,1029
Greatest Common Factor
We found the factors 7876,1029 . The biggest common factor number is the GCF number.
So the greatest common factor 7876,1029 is 1.
Lets's calculate LCM of 193,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 31652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31652
Therefore, the GCF of Fractions 7876/193,1029/164 is 1/31652
Least Common Multiple of 193,164 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 193,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,164) x common factors =1 x 1 = 1
LCM(193,164) = ( 193 × 164 ) / 1
LCM(193,164) = 31652 / 1
LCM(193,164) = 31652
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FAQs on GCF of Fractions of 7876/193, 1029/164
1. What is the HCF of 7876,1029?
The HCF of 7876,1029 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 7876/193, 1029/164?
Answer: GCF of Numerators as per given numbers 7876/193, 1029/164 is
GCF of Numerators i.e. for 7876,1029 is 1
LCM of denominators i.e. for 193,164 is 31652.
Thus, GCF of Fractions is 1/31652.Finally, GCF of Fractions for 7876/193, 1029/164 is 1/31652.