Highest Common Factor of 2934, 5433 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 2934, 5433 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2934, 5433 is 3 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 2934, 5433 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 2934, 5433 is 3.
HCF(2934, 5433) = 3
HCF of 2934, 5433 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2934, 5433 is 3.
Highest Common Factor of 2934,5433 is 3
Step 1: Since 5433 > 2934, we apply the division lemma to 5433 and 2934, to get
5433 = 2934 x 1 + 2499
Step 2: Since the reminder 2934 ≠ 0, we apply division lemma to 2499 and 2934, to get
2934 = 2499 x 1 + 435
Step 3: We consider the new divisor 2499 and the new remainder 435, and apply the division lemma to get
2499 = 435 x 5 + 324
We consider the new divisor 435 and the new remainder 324,and apply the division lemma to get
435 = 324 x 1 + 111
We consider the new divisor 324 and the new remainder 111,and apply the division lemma to get
324 = 111 x 2 + 102
We consider the new divisor 111 and the new remainder 102,and apply the division lemma to get
111 = 102 x 1 + 9
We consider the new divisor 102 and the new remainder 9,and apply the division lemma to get
102 = 9 x 11 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2934 and 5433 is 3
Notice that 3 = HCF(9,3) = HCF(102,9) = HCF(111,102) = HCF(324,111) = HCF(435,324) = HCF(2499,435) = HCF(2934,2499) = HCF(5433,2934) .
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Frequently Asked Questions on HCF of 2934, 5433 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 2934, 5433?
Answer: HCF of 2934, 5433 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2934, 5433 using Euclid's Algorithm?
Answer: For arbitrary numbers 2934, 5433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.