Highest Common Factor of 181, 2974 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 181, 2974 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 181, 2974 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 181, 2974 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 181, 2974 is 1.
HCF(181, 2974) = 1
HCF of 181, 2974 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 181, 2974 is 1.
Highest Common Factor of 181,2974 is 1
Step 1: Since 2974 > 181, we apply the division lemma to 2974 and 181, to get
2974 = 181 x 16 + 78
Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 78 and 181, to get
181 = 78 x 2 + 25
Step 3: We consider the new divisor 78 and the new remainder 25, and apply the division lemma to get
78 = 25 x 3 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 181 and 2974 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(78,25) = HCF(181,78) = HCF(2974,181) .
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Frequently Asked Questions on HCF of 181, 2974 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 181, 2974?
Answer: HCF of 181, 2974 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 181, 2974 using Euclid's Algorithm?
Answer: For arbitrary numbers 181, 2974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.