GCF of 20/274, 24/611, 422/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/274, 24/611, 422/678 i.e 2/56753346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/274, 24/611, 422/678.
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 20/274,24/611,422/678?
Given fractions are 20/274,24/611,422/678
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 20/274,24/611,422/678, numerators are 20,24,422
Denominators are 274,611,678
The GCF of 20,24,422 is 2 .
LCM of 274,611,678 is 56753346.
The greatest common factor of 20/274,24/611,422/678 = [GCF of 20,24,422]/[LCM of 274,611,678]= 2/56753346
Therefore, the GCF of 20/274,24/611,422/678 is 2/56753346.
To find the highest common factor of 20,24,422, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 422 are 1, 2, 211, 422
The HCF of 20,24,422 is 2.
Lets's calculate GCF of 20,24,422
| 2 | 20, 24, 422 |
| 10, 12, 211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,24,422 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 20,24,422 . The biggest common factor number is the GCF number.
So the greatest common factor 20,24,422 is 2.
Lets's calculate LCM of 274,611,678
| 2 | 274, 611, 678 |
| 137, 611, 339 |
∴ So the LCM of the given numbers is 2 x 137 x 611 x 339 = 56753346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56753346
Therefore, the GCF of Fractions 20/274,24/611,422/678 is 2/56753346
Least Common Multiple of 274,611,678 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 274,611,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,611,678) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(274,611,678) x common factors =1 x 2 = 2
LCM(274,611,678) = ( 274 × 611 × 678 ) / 2
LCM(274,611,678) = 113506692 / 2
LCM(274,611,678) = 56753346
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FAQs on GCF of Fractions of 20/274, 24/611, 422/678
1. What is the HCF of 20,24,422?
The HCF of 20,24,422 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 20/274, 24/611, 422/678?
Answer: GCF of Numerators as per given numbers 20/274, 24/611, 422/678 is
GCF of Numerators i.e. for 20,24,422 is 2
LCM of denominators i.e. for 274,611,678 is 56753346.
Thus, GCF of Fractions is 2/56753346.Finally, GCF of Fractions for 20/274, 24/611, 422/678 is 2/56753346.