GCF of 8720/897, 8528/9386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8720/897, 8528/9386 i.e 16/647634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8720/897, 8528/9386.
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 8720/897,8528/9386?
Given fractions are 8720/897,8528/9386
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 8720/897,8528/9386, numerators are 8720,8528
Denominators are 897,9386
The GCF of 8720,8528 is 16 .
LCM of 897,9386 is 647634.
The greatest common factor of 8720/897,8528/9386 = [GCF of 8720,8528]/[LCM of 897,9386]= 16/647634
Therefore, the GCF of 8720/897,8528/9386 is 16/647634.
To find the highest common factor of 8720,8528, we have to find the factors of both numbers and list the highest common factor.
The factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
The factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528
The HCF of 8720,8528 is 16.
Lets's calculate GCF of 8720,8528
| 2 | 8720, 8528 |
| 2 | 4360, 4264 |
| 2 | 2180, 2132 |
| 2 | 1090, 1066 |
| 545, 533 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8720,8528 By Matching Biggest Common Factor Method
Now, list down the factors of 8720
:1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Now, list down the factors of 8528
:1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528
Greatest Common Factor
We found the factors 8720,8528 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,8528 is 16.
Lets's calculate LCM of 897,9386
| 13 | 897, 9386 |
| 69, 722 |
∴ So the LCM of the given numbers is 13 x 69 x 722 = 647634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/647634
Therefore, the GCF of Fractions 8720/897,8528/9386 is 16/647634
Least Common Multiple of 897,9386 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 897,9386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,9386) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(897,9386) x common factors =13 x 1 = 13
LCM(897,9386) = ( 897 × 9386 ) / 13
LCM(897,9386) = 8419242 / 13
LCM(897,9386) = 647634
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FAQs on GCF of Fractions of 8720/897, 8528/9386
1. What is the HCF of 8720,8528?
The HCF of 8720,8528 is 16
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 8720/897, 8528/9386?
Answer: GCF of Numerators as per given numbers 8720/897, 8528/9386 is
GCF of Numerators i.e. for 8720,8528 is 16
LCM of denominators i.e. for 897,9386 is 647634.
Thus, GCF of Fractions is 16/647634.Finally, GCF of Fractions for 8720/897, 8528/9386 is 16/647634.