GCF of 277/267, 396/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 277/267, 396/242 i.e 1/64614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/267, 396/242.
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 277/267,396/242?
Given fractions are 277/267,396/242
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 277/267,396/242, numerators are 277,396
Denominators are 267,242
The GCF of 277,396 is 1 .
LCM of 267,242 is 64614.
The greatest common factor of 277/267,396/242 = [GCF of 277,396]/[LCM of 267,242]= 1/64614
Therefore, the GCF of 277/267,396/242 is 1/64614.
To find the highest common factor of 277,396, we have to find the factors of both numbers and list the highest common factor.
The factors of 277 are 1, 277
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The HCF of 277,396 is 1.
Lets's calculate GCF of 277,396
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 277,396 By Matching Biggest Common Factor Method
Now, list down the factors of 277
:1,277
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 277,396 . The biggest common factor number is the GCF number.
So the greatest common factor 277,396 is 1.
Lets's calculate LCM of 267,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 64614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64614
Therefore, the GCF of Fractions 277/267,396/242 is 1/64614
Least Common Multiple of 267,242 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 267,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,242) x common factors =1 x 1 = 1
LCM(267,242) = ( 267 × 242 ) / 1
LCM(267,242) = 64614 / 1
LCM(267,242) = 64614
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FAQs on GCF of Fractions of 277/267, 396/242
1. What is the HCF of 277,396?
The HCF of 277,396 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 277/267, 396/242?
Answer: GCF of Numerators as per given numbers 277/267, 396/242 is
GCF of Numerators i.e. for 277,396 is 1
LCM of denominators i.e. for 267,242 is 64614.
Thus, GCF of Fractions is 1/64614.Finally, GCF of Fractions for 277/267, 396/242 is 1/64614.