GCF of 49/271, 75/265, 731/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/271, 75/265, 731/349 i.e 1/25063435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/271, 75/265, 731/349.
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 49/271,75/265,731/349?
Given fractions are 49/271,75/265,731/349
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 49/271,75/265,731/349, numerators are 49,75,731
Denominators are 271,265,349
The GCF of 49,75,731 is 1 .
LCM of 271,265,349 is 25063435.
The greatest common factor of 49/271,75/265,731/349 = [GCF of 49,75,731]/[LCM of 271,265,349]= 1/25063435
Therefore, the GCF of 49/271,75/265,731/349 is 1/25063435.
To find the highest common factor of 49,75,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 731 are 1, 17, 43, 731
The HCF of 49,75,731 is 1.
Lets's calculate GCF of 49,75,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,75,731 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 49,75,731 . The biggest common factor number is the GCF number.
So the greatest common factor 49,75,731 is 1.
Lets's calculate LCM of 271,265,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 25063435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25063435
Therefore, the GCF of Fractions 49/271,75/265,731/349 is 1/25063435
Least Common Multiple of 271,265,349 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 271,265,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,265,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,265,349) x common factors =1 x 1 = 1
LCM(271,265,349) = ( 271 × 265 × 349 ) / 1
LCM(271,265,349) = 25063435 / 1
LCM(271,265,349) = 25063435
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FAQs on GCF of Fractions of 49/271, 75/265, 731/349
1. What is the HCF of 49,75,731?
The HCF of 49,75,731 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 49/271, 75/265, 731/349?
Answer: GCF of Numerators as per given numbers 49/271, 75/265, 731/349 is
GCF of Numerators i.e. for 49,75,731 is 1
LCM of denominators i.e. for 271,265,349 is 25063435.
Thus, GCF of Fractions is 1/25063435.Finally, GCF of Fractions for 49/271, 75/265, 731/349 is 1/25063435.