GCF of 127/658, 653/223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 127/658, 653/223 i.e 1/146734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/658, 653/223.
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 127/658,653/223?
Given fractions are 127/658,653/223
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 127/658,653/223, numerators are 127,653
Denominators are 658,223
The GCF of 127,653 is 1 .
LCM of 658,223 is 146734.
The greatest common factor of 127/658,653/223 = [GCF of 127,653]/[LCM of 658,223]= 1/146734
Therefore, the GCF of 127/658,653/223 is 1/146734.
To find the highest common factor of 127,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 127 are 1, 127
The factors of 653 are 1, 653
The HCF of 127,653 is 1.
Lets's calculate GCF of 127,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 127,653 By Matching Biggest Common Factor Method
Now, list down the factors of 127
:1,127
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 127,653 . The biggest common factor number is the GCF number.
So the greatest common factor 127,653 is 1.
Lets's calculate LCM of 658,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 146734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146734
Therefore, the GCF of Fractions 127/658,653/223 is 1/146734
Least Common Multiple of 658,223 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 658,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,223) x common factors =1 x 1 = 1
LCM(658,223) = ( 658 × 223 ) / 1
LCM(658,223) = 146734 / 1
LCM(658,223) = 146734
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FAQs on GCF of Fractions of 127/658, 653/223
1. What is the HCF of 127,653?
The HCF of 127,653 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 127/658, 653/223?
Answer: GCF of Numerators as per given numbers 127/658, 653/223 is
GCF of Numerators i.e. for 127,653 is 1
LCM of denominators i.e. for 658,223 is 146734.
Thus, GCF of Fractions is 1/146734.Finally, GCF of Fractions for 127/658, 653/223 is 1/146734.