GCF of 453/91, 292/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/91, 292/153 i.e 1/13923 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/91, 292/153.
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 453/91,292/153?
Given fractions are 453/91,292/153
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 453/91,292/153, numerators are 453,292
Denominators are 91,153
The GCF of 453,292 is 1 .
LCM of 91,153 is 13923.
The greatest common factor of 453/91,292/153 = [GCF of 453,292]/[LCM of 91,153]= 1/13923
Therefore, the GCF of 453/91,292/153 is 1/13923.
To find the highest common factor of 453,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 453,292 is 1.
Lets's calculate GCF of 453,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 453,292 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 453,292 . The biggest common factor number is the GCF number.
So the greatest common factor 453,292 is 1.
Lets's calculate LCM of 91,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 13923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13923
Therefore, the GCF of Fractions 453/91,292/153 is 1/13923
Least Common Multiple of 91,153 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 91,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,153) x common factors =1 x 1 = 1
LCM(91,153) = ( 91 × 153 ) / 1
LCM(91,153) = 13923 / 1
LCM(91,153) = 13923
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FAQs on GCF of Fractions of 453/91, 292/153
1. What is the HCF of 453,292?
The HCF of 453,292 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 453/91, 292/153?
Answer: GCF of Numerators as per given numbers 453/91, 292/153 is
GCF of Numerators i.e. for 453,292 is 1
LCM of denominators i.e. for 91,153 is 13923.
Thus, GCF of Fractions is 1/13923.Finally, GCF of Fractions for 453/91, 292/153 is 1/13923.