Highest Common Factor of 3934, 2473 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 3934, 2473 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3934, 2473 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 3934, 2473 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 3934, 2473 is 1.
HCF(3934, 2473) = 1
HCF of 3934, 2473 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3934, 2473 is 1.
Highest Common Factor of 3934,2473 is 1
Step 1: Since 3934 > 2473, we apply the division lemma to 3934 and 2473, to get
3934 = 2473 x 1 + 1461
Step 2: Since the reminder 2473 ≠ 0, we apply division lemma to 1461 and 2473, to get
2473 = 1461 x 1 + 1012
Step 3: We consider the new divisor 1461 and the new remainder 1012, and apply the division lemma to get
1461 = 1012 x 1 + 449
We consider the new divisor 1012 and the new remainder 449,and apply the division lemma to get
1012 = 449 x 2 + 114
We consider the new divisor 449 and the new remainder 114,and apply the division lemma to get
449 = 114 x 3 + 107
We consider the new divisor 114 and the new remainder 107,and apply the division lemma to get
114 = 107 x 1 + 7
We consider the new divisor 107 and the new remainder 7,and apply the division lemma to get
107 = 7 x 15 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3934 and 2473 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(107,7) = HCF(114,107) = HCF(449,114) = HCF(1012,449) = HCF(1461,1012) = HCF(2473,1461) = HCF(3934,2473) .
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Frequently Asked Questions on HCF of 3934, 2473 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 3934, 2473?
Answer: HCF of 3934, 2473 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3934, 2473 using Euclid's Algorithm?
Answer: For arbitrary numbers 3934, 2473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.