Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8394, 9877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8394, 9877 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8394, 9877 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8394, 9877 is 1.
HCF(8394, 9877) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8394, 9877 is 1.
Step 1: Since 9877 > 8394, we apply the division lemma to 9877 and 8394, to get
9877 = 8394 x 1 + 1483
Step 2: Since the reminder 8394 ≠ 0, we apply division lemma to 1483 and 8394, to get
8394 = 1483 x 5 + 979
Step 3: We consider the new divisor 1483 and the new remainder 979, and apply the division lemma to get
1483 = 979 x 1 + 504
We consider the new divisor 979 and the new remainder 504,and apply the division lemma to get
979 = 504 x 1 + 475
We consider the new divisor 504 and the new remainder 475,and apply the division lemma to get
504 = 475 x 1 + 29
We consider the new divisor 475 and the new remainder 29,and apply the division lemma to get
475 = 29 x 16 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8394 and 9877 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(475,29) = HCF(504,475) = HCF(979,504) = HCF(1483,979) = HCF(8394,1483) = HCF(9877,8394) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8394, 9877?
Answer: HCF of 8394, 9877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8394, 9877 using Euclid's Algorithm?
Answer: For arbitrary numbers 8394, 9877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.