Highest Common Factor of 1696, 1537 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 1696, 1537 i.e. 53 the largest integer that leaves a remainder zero for all numbers.
HCF of 1696, 1537 is 53 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 1696, 1537 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 1696, 1537 is 53.
HCF(1696, 1537) = 53
HCF of 1696, 1537 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1696, 1537 is 53.
Highest Common Factor of 1696,1537 is 53
Step 1: Since 1696 > 1537, we apply the division lemma to 1696 and 1537, to get
1696 = 1537 x 1 + 159
Step 2: Since the reminder 1537 ≠ 0, we apply division lemma to 159 and 1537, to get
1537 = 159 x 9 + 106
Step 3: We consider the new divisor 159 and the new remainder 106, and apply the division lemma to get
159 = 106 x 1 + 53
We consider the new divisor 106 and the new remainder 53, and apply the division lemma to get
106 = 53 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 1696 and 1537 is 53
Notice that 53 = HCF(106,53) = HCF(159,106) = HCF(1537,159) = HCF(1696,1537) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1696, 1537 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 1696, 1537?
Answer: HCF of 1696, 1537 is 53 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1696, 1537 using Euclid's Algorithm?
Answer: For arbitrary numbers 1696, 1537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.