Highest Common Factor of 2317, 8889 using Euclid's algorithm
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 2317, 8889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2317, 8889 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 2317, 8889 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 2317, 8889 is 1.
HCF(2317, 8889) = 1
HCF of 2317, 8889 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2317, 8889 is 1.
Highest Common Factor of 2317,8889 is 1
Step 1: Since 8889 > 2317, we apply the division lemma to 8889 and 2317, to get
8889 = 2317 x 3 + 1938
Step 2: Since the reminder 2317 ≠ 0, we apply division lemma to 1938 and 2317, to get
2317 = 1938 x 1 + 379
Step 3: We consider the new divisor 1938 and the new remainder 379, and apply the division lemma to get
1938 = 379 x 5 + 43
We consider the new divisor 379 and the new remainder 43,and apply the division lemma to get
379 = 43 x 8 + 35
We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get
43 = 35 x 1 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2317 and 8889 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(379,43) = HCF(1938,379) = HCF(2317,1938) = HCF(8889,2317) .
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Frequently Asked Questions on HCF of 2317, 8889 using Euclid's Algorithm
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 2317, 8889?
Answer: HCF of 2317, 8889 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2317, 8889 using Euclid's Algorithm?
Answer: For arbitrary numbers 2317, 8889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
