GCF of 5461/242, 4637/3511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5461/242, 4637/3511 i.e 1/849662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5461/242, 4637/3511.
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 5461/242,4637/3511?
Given fractions are 5461/242,4637/3511
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 5461/242,4637/3511, numerators are 5461,4637
Denominators are 242,3511
The GCF of 5461,4637 is 1 .
LCM of 242,3511 is 849662.
The greatest common factor of 5461/242,4637/3511 = [GCF of 5461,4637]/[LCM of 242,3511]= 1/849662
Therefore, the GCF of 5461/242,4637/3511 is 1/849662.
To find the highest common factor of 5461,4637, we have to find the factors of both numbers and list the highest common factor.
The factors of 5461 are 1, 43, 127, 5461
The factors of 4637 are 1, 4637
The HCF of 5461,4637 is 1.
Lets's calculate GCF of 5461,4637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5461,4637 By Matching Biggest Common Factor Method
Now, list down the factors of 5461
:1,43,127,5461
Now, list down the factors of 4637
:1,4637
Greatest Common Factor
We found the factors 5461,4637 . The biggest common factor number is the GCF number.
So the greatest common factor 5461,4637 is 1.
Lets's calculate LCM of 242,3511
Given numbers has no common factors except 1. So, there LCM is their product i.e 849662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/849662
Therefore, the GCF of Fractions 5461/242,4637/3511 is 1/849662
Least Common Multiple of 242,3511 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 242,3511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,3511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(242,3511) x common factors =1 x 1 = 1
LCM(242,3511) = ( 242 × 3511 ) / 1
LCM(242,3511) = 849662 / 1
LCM(242,3511) = 849662
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FAQs on GCF of Fractions of 5461/242, 4637/3511
1. What is the HCF of 5461,4637?
The HCF of 5461,4637 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 5461/242, 4637/3511?
Answer: GCF of Numerators as per given numbers 5461/242, 4637/3511 is
GCF of Numerators i.e. for 5461,4637 is 1
LCM of denominators i.e. for 242,3511 is 849662.
Thus, GCF of Fractions is 1/849662.Finally, GCF of Fractions for 5461/242, 4637/3511 is 1/849662.