Highest Common Factor of 5934, 6076 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 5934, 6076 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5934, 6076 is 2 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 5934, 6076 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 5934, 6076 is 2.
HCF(5934, 6076) = 2
HCF of 5934, 6076 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5934, 6076 is 2.
Highest Common Factor of 5934,6076 is 2
Step 1: Since 6076 > 5934, we apply the division lemma to 6076 and 5934, to get
6076 = 5934 x 1 + 142
Step 2: Since the reminder 5934 ≠ 0, we apply division lemma to 142 and 5934, to get
5934 = 142 x 41 + 112
Step 3: We consider the new divisor 142 and the new remainder 112, and apply the division lemma to get
142 = 112 x 1 + 30
We consider the new divisor 112 and the new remainder 30,and apply the division lemma to get
112 = 30 x 3 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5934 and 6076 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(112,30) = HCF(142,112) = HCF(5934,142) = HCF(6076,5934) .
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Frequently Asked Questions on HCF of 5934, 6076 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 5934, 6076?
Answer: HCF of 5934, 6076 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5934, 6076 using Euclid's Algorithm?
Answer: For arbitrary numbers 5934, 6076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
