GCF of 22/21, 74/70, 723/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/21, 74/70, 723/261 i.e 1/18270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/21, 74/70, 723/261.
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 22/21,74/70,723/261?
Given fractions are 22/21,74/70,723/261
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 22/21,74/70,723/261, numerators are 22,74,723
Denominators are 21,70,261
The GCF of 22,74,723 is 1 .
LCM of 21,70,261 is 18270.
The greatest common factor of 22/21,74/70,723/261 = [GCF of 22,74,723]/[LCM of 21,70,261]= 1/18270
Therefore, the GCF of 22/21,74/70,723/261 is 1/18270.
To find the highest common factor of 22,74,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 74 are 1, 2, 37, 74
The factors of 723 are 1, 3, 241, 723
The HCF of 22,74,723 is 1.
Lets's calculate GCF of 22,74,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 22,74,723 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 22,74,723 . The biggest common factor number is the GCF number.
So the greatest common factor 22,74,723 is 1.
Lets's calculate LCM of 21,70,261
| 3 | 21, 70, 261 |
| 7 | 7, 70, 87 |
| 1, 10, 87 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 10 x 87 = 18270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18270
Therefore, the GCF of Fractions 22/21,74/70,723/261 is 1/18270
Least Common Multiple of 21,70,261 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 21,70,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,70,261) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(21,70,261) x common factors =1 x 21 = 21
LCM(21,70,261) = ( 21 × 70 × 261 ) / 21
LCM(21,70,261) = 383670 / 21
LCM(21,70,261) = 18270
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FAQs on GCF of Fractions of 22/21, 74/70, 723/261
1. What is the HCF of 22,74,723?
The HCF of 22,74,723 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 22/21, 74/70, 723/261?
Answer: GCF of Numerators as per given numbers 22/21, 74/70, 723/261 is
GCF of Numerators i.e. for 22,74,723 is 1
LCM of denominators i.e. for 21,70,261 is 18270.
Thus, GCF of Fractions is 1/18270.Finally, GCF of Fractions for 22/21, 74/70, 723/261 is 1/18270.