Highest Common Factor of 1736, 8149 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 1736, 8149 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1736, 8149 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 1736, 8149 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 1736, 8149 is 1.
HCF(1736, 8149) = 1
HCF of 1736, 8149 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1736, 8149 is 1.
Highest Common Factor of 1736,8149 is 1
Step 1: Since 8149 > 1736, we apply the division lemma to 8149 and 1736, to get
8149 = 1736 x 4 + 1205
Step 2: Since the reminder 1736 ≠ 0, we apply division lemma to 1205 and 1736, to get
1736 = 1205 x 1 + 531
Step 3: We consider the new divisor 1205 and the new remainder 531, and apply the division lemma to get
1205 = 531 x 2 + 143
We consider the new divisor 531 and the new remainder 143,and apply the division lemma to get
531 = 143 x 3 + 102
We consider the new divisor 143 and the new remainder 102,and apply the division lemma to get
143 = 102 x 1 + 41
We consider the new divisor 102 and the new remainder 41,and apply the division lemma to get
102 = 41 x 2 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1736 and 8149 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(102,41) = HCF(143,102) = HCF(531,143) = HCF(1205,531) = HCF(1736,1205) = HCF(8149,1736) .
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Frequently Asked Questions on HCF of 1736, 8149 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 1736, 8149?
Answer: HCF of 1736, 8149 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1736, 8149 using Euclid's Algorithm?
Answer: For arbitrary numbers 1736, 8149 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
