GCF of 631/22, 222/36, 761/87
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/22, 222/36, 761/87 i.e 1/11484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/22, 222/36, 761/87.
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 631/22,222/36,761/87?
Given fractions are 631/22,222/36,761/87
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 631/22,222/36,761/87, numerators are 631,222,761
Denominators are 22,36,87
The GCF of 631,222,761 is 1 .
LCM of 22,36,87 is 11484.
The greatest common factor of 631/22,222/36,761/87 = [GCF of 631,222,761]/[LCM of 22,36,87]= 1/11484
Therefore, the GCF of 631/22,222/36,761/87 is 1/11484.
To find the highest common factor of 631,222,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 761 are 1, 761
The HCF of 631,222,761 is 1.
Lets's calculate GCF of 631,222,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,222,761 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 631,222,761 . The biggest common factor number is the GCF number.
So the greatest common factor 631,222,761 is 1.
Lets's calculate LCM of 22,36,87
| 2 | 22, 36, 87 |
| 3 | 11, 18, 87 |
| 11, 6, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 6 x 29 = 11484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11484
Therefore, the GCF of Fractions 631/22,222/36,761/87 is 1/11484
Least Common Multiple of 22,36,87 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 22,36,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,36,87) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(22,36,87) x common factors =1 x 6 = 6
LCM(22,36,87) = ( 22 × 36 × 87 ) / 6
LCM(22,36,87) = 68904 / 6
LCM(22,36,87) = 11484
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FAQs on GCF of Fractions of 631/22, 222/36, 761/87
1. What is the HCF of 631,222,761?
The HCF of 631,222,761 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 631/22, 222/36, 761/87?
Answer: GCF of Numerators as per given numbers 631/22, 222/36, 761/87 is
GCF of Numerators i.e. for 631,222,761 is 1
LCM of denominators i.e. for 22,36,87 is 11484.
Thus, GCF of Fractions is 1/11484.Finally, GCF of Fractions for 631/22, 222/36, 761/87 is 1/11484.