GCF of 6169/929, 7623/182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6169/929, 7623/182 i.e 1/169078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6169/929, 7623/182.
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 6169/929,7623/182?
Given fractions are 6169/929,7623/182
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 6169/929,7623/182, numerators are 6169,7623
Denominators are 929,182
The GCF of 6169,7623 is 1 .
LCM of 929,182 is 169078.
The greatest common factor of 6169/929,7623/182 = [GCF of 6169,7623]/[LCM of 929,182]= 1/169078
Therefore, the GCF of 6169/929,7623/182 is 1/169078.
To find the highest common factor of 6169,7623, we have to find the factors of both numbers and list the highest common factor.
The factors of 6169 are 1, 31, 199, 6169
The factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623
The HCF of 6169,7623 is 1.
Lets's calculate GCF of 6169,7623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6169,7623 By Matching Biggest Common Factor Method
Now, list down the factors of 6169
:1,31,199,6169
Now, list down the factors of 7623
:1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623
Greatest Common Factor
We found the factors 6169,7623 . The biggest common factor number is the GCF number.
So the greatest common factor 6169,7623 is 1.
Lets's calculate LCM of 929,182
Given numbers has no common factors except 1. So, there LCM is their product i.e 169078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169078
Therefore, the GCF of Fractions 6169/929,7623/182 is 1/169078
Least Common Multiple of 929,182 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 929,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,182) x common factors =1 x 1 = 1
LCM(929,182) = ( 929 × 182 ) / 1
LCM(929,182) = 169078 / 1
LCM(929,182) = 169078
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FAQs on GCF of Fractions of 6169/929, 7623/182
1. What is the HCF of 6169,7623?
The HCF of 6169,7623 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 6169/929, 7623/182?
Answer: GCF of Numerators as per given numbers 6169/929, 7623/182 is
GCF of Numerators i.e. for 6169,7623 is 1
LCM of denominators i.e. for 929,182 is 169078.
Thus, GCF of Fractions is 1/169078.Finally, GCF of Fractions for 6169/929, 7623/182 is 1/169078.