Highest Common Factor of 8953, 2386 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 8953, 2386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8953, 2386 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 8953, 2386 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 8953, 2386 is 1.
HCF(8953, 2386) = 1
HCF of 8953, 2386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8953, 2386 is 1.
Highest Common Factor of 8953,2386 is 1
Step 1: Since 8953 > 2386, we apply the division lemma to 8953 and 2386, to get
8953 = 2386 x 3 + 1795
Step 2: Since the reminder 2386 ≠ 0, we apply division lemma to 1795 and 2386, to get
2386 = 1795 x 1 + 591
Step 3: We consider the new divisor 1795 and the new remainder 591, and apply the division lemma to get
1795 = 591 x 3 + 22
We consider the new divisor 591 and the new remainder 22,and apply the division lemma to get
591 = 22 x 26 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 8953 and 2386 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(591,22) = HCF(1795,591) = HCF(2386,1795) = HCF(8953,2386) .
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Frequently Asked Questions on HCF of 8953, 2386 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 8953, 2386?
Answer: HCF of 8953, 2386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8953, 2386 using Euclid's Algorithm?
Answer: For arbitrary numbers 8953, 2386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.