GCF of 9050/148, 7429/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9050/148, 7429/643 i.e 1/95164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9050/148, 7429/643.
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 9050/148,7429/643?
Given fractions are 9050/148,7429/643
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 9050/148,7429/643, numerators are 9050,7429
Denominators are 148,643
The GCF of 9050,7429 is 1 .
LCM of 148,643 is 95164.
The greatest common factor of 9050/148,7429/643 = [GCF of 9050,7429]/[LCM of 148,643]= 1/95164
Therefore, the GCF of 9050/148,7429/643 is 1/95164.
To find the highest common factor of 9050,7429, we have to find the factors of both numbers and list the highest common factor.
The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429
The HCF of 9050,7429 is 1.
Lets's calculate GCF of 9050,7429
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9050,7429 By Matching Biggest Common Factor Method
Now, list down the factors of 9050
:1,2,5,10,25,50,181,362,905,1810,4525,9050
Now, list down the factors of 7429
:1,17,19,23,323,391,437,7429
Greatest Common Factor
We found the factors 9050,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 9050,7429 is 1.
Lets's calculate LCM of 148,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 95164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95164
Therefore, the GCF of Fractions 9050/148,7429/643 is 1/95164
Least Common Multiple of 148,643 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 148,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(148,643) x common factors =1 x 1 = 1
LCM(148,643) = ( 148 × 643 ) / 1
LCM(148,643) = 95164 / 1
LCM(148,643) = 95164
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FAQs on GCF of Fractions of 9050/148, 7429/643
1. What is the HCF of 9050,7429?
The HCF of 9050,7429 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 9050/148, 7429/643?
Answer: GCF of Numerators as per given numbers 9050/148, 7429/643 is
GCF of Numerators i.e. for 9050,7429 is 1
LCM of denominators i.e. for 148,643 is 95164.
Thus, GCF of Fractions is 1/95164.Finally, GCF of Fractions for 9050/148, 7429/643 is 1/95164.