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 5693, 1962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5693, 1962 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 5693, 1962 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 5693, 1962 is 1.
HCF(5693, 1962) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5693, 1962 is 1.
Step 1: Since 5693 > 1962, we apply the division lemma to 5693 and 1962, to get
5693 = 1962 x 2 + 1769
Step 2: Since the reminder 1962 ≠ 0, we apply division lemma to 1769 and 1962, to get
1962 = 1769 x 1 + 193
Step 3: We consider the new divisor 1769 and the new remainder 193, and apply the division lemma to get
1769 = 193 x 9 + 32
We consider the new divisor 193 and the new remainder 32,and apply the division lemma to get
193 = 32 x 6 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5693 and 1962 is 1
Notice that 1 = HCF(32,1) = HCF(193,32) = HCF(1769,193) = HCF(1962,1769) = HCF(5693,1962) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5693, 1962?
Answer: HCF of 5693, 1962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5693, 1962 using Euclid's Algorithm?
Answer: For arbitrary numbers 5693, 1962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.