Highest Common Factor of 249, 181 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 249, 181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 249, 181 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 249, 181 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 249, 181 is 1.
HCF(249, 181) = 1
HCF of 249, 181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 249, 181 is 1.
Highest Common Factor of 249,181 is 1
Step 1: Since 249 > 181, we apply the division lemma to 249 and 181, to get
249 = 181 x 1 + 68
Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 68 and 181, to get
181 = 68 x 2 + 45
Step 3: We consider the new divisor 68 and the new remainder 45, and apply the division lemma to get
68 = 45 x 1 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 249 and 181 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(181,68) = HCF(249,181) .
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Frequently Asked Questions on HCF of 249, 181 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 249, 181?
Answer: HCF of 249, 181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 249, 181 using Euclid's Algorithm?
Answer: For arbitrary numbers 249, 181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.