GCF of 551/74, 723/340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/74, 723/340 i.e 1/12580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/74, 723/340.
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 551/74,723/340?
Given fractions are 551/74,723/340
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 551/74,723/340, numerators are 551,723
Denominators are 74,340
The GCF of 551,723 is 1 .
LCM of 74,340 is 12580.
The greatest common factor of 551/74,723/340 = [GCF of 551,723]/[LCM of 74,340]= 1/12580
Therefore, the GCF of 551/74,723/340 is 1/12580.
To find the highest common factor of 551,723, 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 723 are 1, 3, 241, 723
The HCF of 551,723 is 1.
Lets's calculate GCF of 551,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 551,723 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 551,723 . The biggest common factor number is the GCF number.
So the greatest common factor 551,723 is 1.
Lets's calculate LCM of 74,340
| 2 | 74, 340 |
| 37, 170 |
∴ So the LCM of the given numbers is 2 x 37 x 170 = 12580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12580
Therefore, the GCF of Fractions 551/74,723/340 is 1/12580
Least Common Multiple of 74,340 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 74,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,340) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,340) x common factors =2 x 1 = 2
LCM(74,340) = ( 74 × 340 ) / 2
LCM(74,340) = 25160 / 2
LCM(74,340) = 12580
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FAQs on GCF of Fractions of 551/74, 723/340
1. What is the HCF of 551,723?
The HCF of 551,723 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 551/74, 723/340?
Answer: GCF of Numerators as per given numbers 551/74, 723/340 is
GCF of Numerators i.e. for 551,723 is 1
LCM of denominators i.e. for 74,340 is 12580.
Thus, GCF of Fractions is 1/12580.Finally, GCF of Fractions for 551/74, 723/340 is 1/12580.