Highest Common Factor of 1763, 1696 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 1763, 1696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1763, 1696 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 1763, 1696 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 1763, 1696 is 1.
HCF(1763, 1696) = 1
HCF of 1763, 1696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1763, 1696 is 1.
Highest Common Factor of 1763,1696 is 1
Step 1: Since 1763 > 1696, we apply the division lemma to 1763 and 1696, to get
1763 = 1696 x 1 + 67
Step 2: Since the reminder 1696 ≠ 0, we apply division lemma to 67 and 1696, to get
1696 = 67 x 25 + 21
Step 3: We consider the new divisor 67 and the new remainder 21, and apply the division lemma to get
67 = 21 x 3 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1763 and 1696 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(1696,67) = HCF(1763,1696) .
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Frequently Asked Questions on HCF of 1763, 1696 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 1763, 1696?
Answer: HCF of 1763, 1696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1763, 1696 using Euclid's Algorithm?
Answer: For arbitrary numbers 1763, 1696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.