Highest Common Factor of 943, 3523 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 943, 3523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 943, 3523 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 943, 3523 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 943, 3523 is 1.
HCF(943, 3523) = 1
HCF of 943, 3523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 943, 3523 is 1.
Highest Common Factor of 943,3523 is 1
Step 1: Since 3523 > 943, we apply the division lemma to 3523 and 943, to get
3523 = 943 x 3 + 694
Step 2: Since the reminder 943 ≠ 0, we apply division lemma to 694 and 943, to get
943 = 694 x 1 + 249
Step 3: We consider the new divisor 694 and the new remainder 249, and apply the division lemma to get
694 = 249 x 2 + 196
We consider the new divisor 249 and the new remainder 196,and apply the division lemma to get
249 = 196 x 1 + 53
We consider the new divisor 196 and the new remainder 53,and apply the division lemma to get
196 = 53 x 3 + 37
We consider the new divisor 53 and the new remainder 37,and apply the division lemma to get
53 = 37 x 1 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 3523 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(53,37) = HCF(196,53) = HCF(249,196) = HCF(694,249) = HCF(943,694) = HCF(3523,943) .
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Frequently Asked Questions on HCF of 943, 3523 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 943, 3523?
Answer: HCF of 943, 3523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 943, 3523 using Euclid's Algorithm?
Answer: For arbitrary numbers 943, 3523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.