GCF of 541/51, 687/1613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 541/51, 687/1613 i.e 1/82263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/51, 687/1613.
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 541/51,687/1613?
Given fractions are 541/51,687/1613
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 541/51,687/1613, numerators are 541,687
Denominators are 51,1613
The GCF of 541,687 is 1 .
LCM of 51,1613 is 82263.
The greatest common factor of 541/51,687/1613 = [GCF of 541,687]/[LCM of 51,1613]= 1/82263
Therefore, the GCF of 541/51,687/1613 is 1/82263.
To find the highest common factor of 541,687, we have to find the factors of both numbers and list the highest common factor.
The factors of 541 are 1, 541
The factors of 687 are 1, 3, 229, 687
The HCF of 541,687 is 1.
Lets's calculate GCF of 541,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 541,687 By Matching Biggest Common Factor Method
Now, list down the factors of 541
:1,541
Now, list down the factors of 687
:1,3,229,687
Greatest Common Factor
We found the factors 541,687 . The biggest common factor number is the GCF number.
So the greatest common factor 541,687 is 1.
Lets's calculate LCM of 51,1613
Given numbers has no common factors except 1. So, there LCM is their product i.e 82263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82263
Therefore, the GCF of Fractions 541/51,687/1613 is 1/82263
Least Common Multiple of 51,1613 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 51,1613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,1613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,1613) x common factors =1 x 1 = 1
LCM(51,1613) = ( 51 × 1613 ) / 1
LCM(51,1613) = 82263 / 1
LCM(51,1613) = 82263
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FAQs on GCF of Fractions of 541/51, 687/1613
1. What is the HCF of 541,687?
The HCF of 541,687 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 541/51, 687/1613?
Answer: GCF of Numerators as per given numbers 541/51, 687/1613 is
GCF of Numerators i.e. for 541,687 is 1
LCM of denominators i.e. for 51,1613 is 82263.
Thus, GCF of Fractions is 1/82263.Finally, GCF of Fractions for 541/51, 687/1613 is 1/82263.