GCF of 8801/470, 4394/7924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8801/470, 4394/7924 i.e 13/1862140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8801/470, 4394/7924.
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 8801/470,4394/7924?
Given fractions are 8801/470,4394/7924
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 8801/470,4394/7924, numerators are 8801,4394
Denominators are 470,7924
The GCF of 8801,4394 is 13 .
LCM of 470,7924 is 1862140.
The greatest common factor of 8801/470,4394/7924 = [GCF of 8801,4394]/[LCM of 470,7924]= 13/1862140
Therefore, the GCF of 8801/470,4394/7924 is 13/1862140.
To find the highest common factor of 8801,4394, we have to find the factors of both numbers and list the highest common factor.
The factors of 8801 are 1, 13, 677, 8801
The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394
The HCF of 8801,4394 is 13.
Lets's calculate GCF of 8801,4394
| 13 | 8801, 4394 |
| 677, 338 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 8801,4394 By Matching Biggest Common Factor Method
Now, list down the factors of 8801
:1,13,677,8801
Now, list down the factors of 4394
:1,2,13,26,169,338,2197,4394
Greatest Common Factor
We found the factors 8801,4394 . The biggest common factor number is the GCF number.
So the greatest common factor 8801,4394 is 13.
Lets's calculate LCM of 470,7924
| 2 | 470, 7924 |
| 235, 3962 |
∴ So the LCM of the given numbers is 2 x 235 x 3962 = 1862140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1862140
Therefore, the GCF of Fractions 8801/470,4394/7924 is 13/1862140
Least Common Multiple of 470,7924 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 470,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,7924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,7924) x common factors =2 x 1 = 2
LCM(470,7924) = ( 470 × 7924 ) / 2
LCM(470,7924) = 3724280 / 2
LCM(470,7924) = 1862140
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FAQs on GCF of Fractions of 8801/470, 4394/7924
1. What is the HCF of 8801,4394?
The HCF of 8801,4394 is 13
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 8801/470, 4394/7924?
Answer: GCF of Numerators as per given numbers 8801/470, 4394/7924 is
GCF of Numerators i.e. for 8801,4394 is 13
LCM of denominators i.e. for 470,7924 is 1862140.
Thus, GCF of Fractions is 13/1862140.Finally, GCF of Fractions for 8801/470, 4394/7924 is 13/1862140.