Highest Common Factor of 2971, 1923 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 2971, 1923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2971, 1923 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 2971, 1923 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 2971, 1923 is 1.
HCF(2971, 1923) = 1
HCF of 2971, 1923 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2971, 1923 is 1.
Highest Common Factor of 2971,1923 is 1
Step 1: Since 2971 > 1923, we apply the division lemma to 2971 and 1923, to get
2971 = 1923 x 1 + 1048
Step 2: Since the reminder 1923 ≠ 0, we apply division lemma to 1048 and 1923, to get
1923 = 1048 x 1 + 875
Step 3: We consider the new divisor 1048 and the new remainder 875, and apply the division lemma to get
1048 = 875 x 1 + 173
We consider the new divisor 875 and the new remainder 173,and apply the division lemma to get
875 = 173 x 5 + 10
We consider the new divisor 173 and the new remainder 10,and apply the division lemma to get
173 = 10 x 17 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 2971 and 1923 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(173,10) = HCF(875,173) = HCF(1048,875) = HCF(1923,1048) = HCF(2971,1923) .
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Frequently Asked Questions on HCF of 2971, 1923 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 2971, 1923?
Answer: HCF of 2971, 1923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2971, 1923 using Euclid's Algorithm?
Answer: For arbitrary numbers 2971, 1923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
