GCF of 551/189, 643/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/189, 643/769 i.e 1/145341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/189, 643/769.
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 551/189,643/769?
Given fractions are 551/189,643/769
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 551/189,643/769, numerators are 551,643
Denominators are 189,769
The GCF of 551,643 is 1 .
LCM of 189,769 is 145341.
The greatest common factor of 551/189,643/769 = [GCF of 551,643]/[LCM of 189,769]= 1/145341
Therefore, the GCF of 551/189,643/769 is 1/145341.
To find the highest common factor of 551,643, 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 643 are 1, 643
The HCF of 551,643 is 1.
Lets's calculate GCF of 551,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 551,643 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 551,643 . The biggest common factor number is the GCF number.
So the greatest common factor 551,643 is 1.
Lets's calculate LCM of 189,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 145341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145341
Therefore, the GCF of Fractions 551/189,643/769 is 1/145341
Least Common Multiple of 189,769 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 189,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,769) x common factors =1 x 1 = 1
LCM(189,769) = ( 189 × 769 ) / 1
LCM(189,769) = 145341 / 1
LCM(189,769) = 145341
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FAQs on GCF of Fractions of 551/189, 643/769
1. What is the HCF of 551,643?
The HCF of 551,643 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 551/189, 643/769?
Answer: GCF of Numerators as per given numbers 551/189, 643/769 is
GCF of Numerators i.e. for 551,643 is 1
LCM of denominators i.e. for 189,769 is 145341.
Thus, GCF of Fractions is 1/145341.Finally, GCF of Fractions for 551/189, 643/769 is 1/145341.