GCF of 7923/894, 1105/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7923/894, 1105/210 i.e 1/31290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7923/894, 1105/210.
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 7923/894,1105/210?
Given fractions are 7923/894,1105/210
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 7923/894,1105/210, numerators are 7923,1105
Denominators are 894,210
The GCF of 7923,1105 is 1 .
LCM of 894,210 is 31290.
The greatest common factor of 7923/894,1105/210 = [GCF of 7923,1105]/[LCM of 894,210]= 1/31290
Therefore, the GCF of 7923/894,1105/210 is 1/31290.
To find the highest common factor of 7923,1105, we have to find the factors of both numbers and list the highest common factor.
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105
The HCF of 7923,1105 is 1.
Lets's calculate GCF of 7923,1105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7923,1105 By Matching Biggest Common Factor Method
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Now, list down the factors of 1105
:1,5,13,17,65,85,221,1105
Greatest Common Factor
We found the factors 7923,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 7923,1105 is 1.
Lets's calculate LCM of 894,210
| 2 | 894, 210 |
| 3 | 447, 105 |
| 149, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 35 = 31290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31290
Therefore, the GCF of Fractions 7923/894,1105/210 is 1/31290
Least Common Multiple of 894,210 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 894,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,210) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,210) x common factors =6 x 1 = 6
LCM(894,210) = ( 894 × 210 ) / 6
LCM(894,210) = 187740 / 6
LCM(894,210) = 31290
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FAQs on GCF of Fractions of 7923/894, 1105/210
1. What is the HCF of 7923,1105?
The HCF of 7923,1105 is 1
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 7923/894, 1105/210?
Answer: GCF of Numerators as per given numbers 7923/894, 1105/210 is
GCF of Numerators i.e. for 7923,1105 is 1
LCM of denominators i.e. for 894,210 is 31290.
Thus, GCF of Fractions is 1/31290.Finally, GCF of Fractions for 7923/894, 1105/210 is 1/31290.