GCF of 541/39, 567/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 541/39, 567/674 i.e 1/26286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/39, 567/674.
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 541/39,567/674?
Given fractions are 541/39,567/674
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 541/39,567/674, numerators are 541,567
Denominators are 39,674
The GCF of 541,567 is 1 .
LCM of 39,674 is 26286.
The greatest common factor of 541/39,567/674 = [GCF of 541,567]/[LCM of 39,674]= 1/26286
Therefore, the GCF of 541/39,567/674 is 1/26286.
To find the highest common factor of 541,567, 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 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The HCF of 541,567 is 1.
Lets's calculate GCF of 541,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 541,567 By Matching Biggest Common Factor Method
Now, list down the factors of 541
:1,541
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 541,567 . The biggest common factor number is the GCF number.
So the greatest common factor 541,567 is 1.
Lets's calculate LCM of 39,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 26286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26286
Therefore, the GCF of Fractions 541/39,567/674 is 1/26286
Least Common Multiple of 39,674 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 39,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,674) x common factors =1 x 1 = 1
LCM(39,674) = ( 39 × 674 ) / 1
LCM(39,674) = 26286 / 1
LCM(39,674) = 26286
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FAQs on GCF of Fractions of 541/39, 567/674
1. What is the HCF of 541,567?
The HCF of 541,567 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 541/39, 567/674?
Answer: GCF of Numerators as per given numbers 541/39, 567/674 is
GCF of Numerators i.e. for 541,567 is 1
LCM of denominators i.e. for 39,674 is 26286.
Thus, GCF of Fractions is 1/26286.Finally, GCF of Fractions for 541/39, 567/674 is 1/26286.