GCF of 22/61, 810/71, 972/386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/61, 810/71, 972/386 i.e 2/1671766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/61, 810/71, 972/386.
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 22/61,810/71,972/386?
Given fractions are 22/61,810/71,972/386
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 22/61,810/71,972/386, numerators are 22,810,972
Denominators are 61,71,386
The GCF of 22,810,972 is 2 .
LCM of 61,71,386 is 1671766.
The greatest common factor of 22/61,810/71,972/386 = [GCF of 22,810,972]/[LCM of 61,71,386]= 2/1671766
Therefore, the GCF of 22/61,810/71,972/386 is 2/1671766.
To find the highest common factor of 22,810,972, 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 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
The HCF of 22,810,972 is 2.
Lets's calculate GCF of 22,810,972
| 2 | 22, 810, 972 |
| 11, 405, 486 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 22,810,972 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 972
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 22,810,972 . The biggest common factor number is the GCF number.
So the greatest common factor 22,810,972 is 2.
Lets's calculate LCM of 61,71,386
Given numbers has no common factors except 1. So, there LCM is their product i.e 1671766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1671766
Therefore, the GCF of Fractions 22/61,810/71,972/386 is 2/1671766
Least Common Multiple of 61,71,386 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 61,71,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,71,386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,71,386) x common factors =1 x 1 = 1
LCM(61,71,386) = ( 61 × 71 × 386 ) / 1
LCM(61,71,386) = 1671766 / 1
LCM(61,71,386) = 1671766
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FAQs on GCF of Fractions of 22/61, 810/71, 972/386
1. What is the HCF of 22,810,972?
The HCF of 22,810,972 is 2
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 22/61, 810/71, 972/386?
Answer: GCF of Numerators as per given numbers 22/61, 810/71, 972/386 is
GCF of Numerators i.e. for 22,810,972 is 2
LCM of denominators i.e. for 61,71,386 is 1671766.
Thus, GCF of Fractions is 2/1671766.Finally, GCF of Fractions for 22/61, 810/71, 972/386 is 2/1671766.