Highest Common Factor of 853, 2339 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 853, 2339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 853, 2339 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 853, 2339 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 853, 2339 is 1.
HCF(853, 2339) = 1
HCF of 853, 2339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 853, 2339 is 1.
Highest Common Factor of 853,2339 is 1
Step 1: Since 2339 > 853, we apply the division lemma to 2339 and 853, to get
2339 = 853 x 2 + 633
Step 2: Since the reminder 853 ≠ 0, we apply division lemma to 633 and 853, to get
853 = 633 x 1 + 220
Step 3: We consider the new divisor 633 and the new remainder 220, and apply the division lemma to get
633 = 220 x 2 + 193
We consider the new divisor 220 and the new remainder 193,and apply the division lemma to get
220 = 193 x 1 + 27
We consider the new divisor 193 and the new remainder 27,and apply the division lemma to get
193 = 27 x 7 + 4
We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get
27 = 4 x 6 + 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 853 and 2339 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(193,27) = HCF(220,193) = HCF(633,220) = HCF(853,633) = HCF(2339,853) .
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Frequently Asked Questions on HCF of 853, 2339 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 853, 2339?
Answer: HCF of 853, 2339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 853, 2339 using Euclid's Algorithm?
Answer: For arbitrary numbers 853, 2339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.