GCF of 890/27, 375/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/27, 375/420 i.e 5/3780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/27, 375/420.
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 890/27,375/420?
Given fractions are 890/27,375/420
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 890/27,375/420, numerators are 890,375
Denominators are 27,420
The GCF of 890,375 is 5 .
LCM of 27,420 is 3780.
The greatest common factor of 890/27,375/420 = [GCF of 890,375]/[LCM of 27,420]= 5/3780
Therefore, the GCF of 890/27,375/420 is 5/3780.
To find the highest common factor of 890,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 890,375 is 5.
Lets's calculate GCF of 890,375
| 5 | 890, 375 |
| 178, 75 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 890,375 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 890,375 . The biggest common factor number is the GCF number.
So the greatest common factor 890,375 is 5.
Lets's calculate LCM of 27,420
| 3 | 27, 420 |
| 9, 140 |
∴ So the LCM of the given numbers is 3 x 9 x 140 = 3780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3780
Therefore, the GCF of Fractions 890/27,375/420 is 5/3780
Least Common Multiple of 27,420 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 27,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(27,420) x common factors =3 x 1 = 3
LCM(27,420) = ( 27 × 420 ) / 3
LCM(27,420) = 11340 / 3
LCM(27,420) = 3780
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FAQs on GCF of Fractions of 890/27, 375/420
1. What is the HCF of 890,375?
The HCF of 890,375 is 5
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 890/27, 375/420?
Answer: GCF of Numerators as per given numbers 890/27, 375/420 is
GCF of Numerators i.e. for 890,375 is 5
LCM of denominators i.e. for 27,420 is 3780.
Thus, GCF of Fractions is 5/3780.Finally, GCF of Fractions for 890/27, 375/420 is 5/3780.