GCF of 61/578, 55/539, 341/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/578, 55/539, 341/701 i.e 1/218390942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/578, 55/539, 341/701.
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 61/578,55/539,341/701?
Given fractions are 61/578,55/539,341/701
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 61/578,55/539,341/701, numerators are 61,55,341
Denominators are 578,539,701
The GCF of 61,55,341 is 1 .
LCM of 578,539,701 is 218390942.
The greatest common factor of 61/578,55/539,341/701 = [GCF of 61,55,341]/[LCM of 578,539,701]= 1/218390942
Therefore, the GCF of 61/578,55/539,341/701 is 1/218390942.
To find the highest common factor of 61,55,341, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 55 are 1, 5, 11, 55
The factors of 341 are 1, 11, 31, 341
The HCF of 61,55,341 is 1.
Lets's calculate GCF of 61,55,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,55,341 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 341
:1,11,31,341
Greatest Common Factor
We found the factors 61,55,341 . The biggest common factor number is the GCF number.
So the greatest common factor 61,55,341 is 1.
Lets's calculate LCM of 578,539,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 218390942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218390942
Therefore, the GCF of Fractions 61/578,55/539,341/701 is 1/218390942
Least Common Multiple of 578,539,701 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 578,539,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,539,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,539,701) x common factors =1 x 1 = 1
LCM(578,539,701) = ( 578 × 539 × 701 ) / 1
LCM(578,539,701) = 218390942 / 1
LCM(578,539,701) = 218390942
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FAQs on GCF of Fractions of 61/578, 55/539, 341/701
1. What is the HCF of 61,55,341?
The HCF of 61,55,341 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 61/578, 55/539, 341/701?
Answer: GCF of Numerators as per given numbers 61/578, 55/539, 341/701 is
GCF of Numerators i.e. for 61,55,341 is 1
LCM of denominators i.e. for 578,539,701 is 218390942.
Thus, GCF of Fractions is 1/218390942.Finally, GCF of Fractions for 61/578, 55/539, 341/701 is 1/218390942.