GCF of 551/539, 261/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/539, 261/779 i.e 29/419881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/539, 261/779.
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 551/539,261/779?
Given fractions are 551/539,261/779
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 551/539,261/779, numerators are 551,261
Denominators are 539,779
The GCF of 551,261 is 29 .
LCM of 539,779 is 419881.
The greatest common factor of 551/539,261/779 = [GCF of 551,261]/[LCM of 539,779]= 29/419881
Therefore, the GCF of 551/539,261/779 is 29/419881.
To find the highest common factor of 551,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 261 are 1, 3, 9, 29, 87, 261
The HCF of 551,261 is 29.
Lets's calculate GCF of 551,261
| 29 | 551, 261 |
| 19, 9 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 551,261 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 551,261 . The biggest common factor number is the GCF number.
So the greatest common factor 551,261 is 29.
Lets's calculate LCM of 539,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 419881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/419881
Therefore, the GCF of Fractions 551/539,261/779 is 29/419881
Least Common Multiple of 539,779 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 539,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,779) x common factors =1 x 1 = 1
LCM(539,779) = ( 539 × 779 ) / 1
LCM(539,779) = 419881 / 1
LCM(539,779) = 419881
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FAQs on GCF of Fractions of 551/539, 261/779
1. What is the HCF of 551,261?
The HCF of 551,261 is 29
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 551/539, 261/779?
Answer: GCF of Numerators as per given numbers 551/539, 261/779 is
GCF of Numerators i.e. for 551,261 is 29
LCM of denominators i.e. for 539,779 is 419881.
Thus, GCF of Fractions is 29/419881.Finally, GCF of Fractions for 551/539, 261/779 is 29/419881.