GCF of 20/838, 394/224, 276/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/838, 394/224, 276/310 i.e 2/14547680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/838, 394/224, 276/310.
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 20/838,394/224,276/310?
Given fractions are 20/838,394/224,276/310
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 20/838,394/224,276/310, numerators are 20,394,276
Denominators are 838,224,310
The GCF of 20,394,276 is 2 .
LCM of 838,224,310 is 14547680.
The greatest common factor of 20/838,394/224,276/310 = [GCF of 20,394,276]/[LCM of 838,224,310]= 2/14547680
Therefore, the GCF of 20/838,394/224,276/310 is 2/14547680.
To find the highest common factor of 20,394,276, 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 394 are 1, 2, 197, 394
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
The HCF of 20,394,276 is 2.
Lets's calculate GCF of 20,394,276
| 2 | 20, 394, 276 |
| 10, 197, 138 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,394,276 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 394
:1,2,197,394
Now, list down the factors of 276
:1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 20,394,276 . The biggest common factor number is the GCF number.
So the greatest common factor 20,394,276 is 2.
Lets's calculate LCM of 838,224,310
| 2 | 838, 224, 310 |
| 419, 112, 155 |
∴ So the LCM of the given numbers is 2 x 419 x 112 x 155 = 14547680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14547680
Therefore, the GCF of Fractions 20/838,394/224,276/310 is 2/14547680
Least Common Multiple of 838,224,310 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 838,224,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,224,310) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(838,224,310) x common factors =2 x 2 = 4
LCM(838,224,310) = ( 838 × 224 × 310 ) / 4
LCM(838,224,310) = 58190720 / 4
LCM(838,224,310) = 14547680
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FAQs on GCF of Fractions of 20/838, 394/224, 276/310
1. What is the HCF of 20,394,276?
The HCF of 20,394,276 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 20/838, 394/224, 276/310?
Answer: GCF of Numerators as per given numbers 20/838, 394/224, 276/310 is
GCF of Numerators i.e. for 20,394,276 is 2
LCM of denominators i.e. for 838,224,310 is 14547680.
Thus, GCF of Fractions is 2/14547680.Finally, GCF of Fractions for 20/838, 394/224, 276/310 is 2/14547680.