GCF of 890/217, 720/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/217, 720/904 i.e 10/196168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/217, 720/904.
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 890/217,720/904?
Given fractions are 890/217,720/904
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 890/217,720/904, numerators are 890,720
Denominators are 217,904
The GCF of 890,720 is 10 .
LCM of 217,904 is 196168.
The greatest common factor of 890/217,720/904 = [GCF of 890,720]/[LCM of 217,904]= 10/196168
Therefore, the GCF of 890/217,720/904 is 10/196168.
To find the highest common factor of 890,720, 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 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The HCF of 890,720 is 10.
Lets's calculate GCF of 890,720
| 2 | 890, 720 |
| 5 | 445, 360 |
| 89, 72 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 890,720 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 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 890,720 . The biggest common factor number is the GCF number.
So the greatest common factor 890,720 is 10.
Lets's calculate LCM of 217,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 196168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/196168
Therefore, the GCF of Fractions 890/217,720/904 is 10/196168
Least Common Multiple of 217,904 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 217,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,904) x common factors =1 x 1 = 1
LCM(217,904) = ( 217 × 904 ) / 1
LCM(217,904) = 196168 / 1
LCM(217,904) = 196168
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FAQs on GCF of Fractions of 890/217, 720/904
1. What is the HCF of 890,720?
The HCF of 890,720 is 10
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 890/217, 720/904?
Answer: GCF of Numerators as per given numbers 890/217, 720/904 is
GCF of Numerators i.e. for 890,720 is 10
LCM of denominators i.e. for 217,904 is 196168.
Thus, GCF of Fractions is 10/196168.Finally, GCF of Fractions for 890/217, 720/904 is 10/196168.