Highest Common Factor of 6031, 2706 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 6031, 2706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6031, 2706 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 6031, 2706 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 6031, 2706 is 1.
HCF(6031, 2706) = 1
HCF of 6031, 2706 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6031, 2706 is 1.
Highest Common Factor of 6031,2706 is 1
Step 1: Since 6031 > 2706, we apply the division lemma to 6031 and 2706, to get
6031 = 2706 x 2 + 619
Step 2: Since the reminder 2706 ≠ 0, we apply division lemma to 619 and 2706, to get
2706 = 619 x 4 + 230
Step 3: We consider the new divisor 619 and the new remainder 230, and apply the division lemma to get
619 = 230 x 2 + 159
We consider the new divisor 230 and the new remainder 159,and apply the division lemma to get
230 = 159 x 1 + 71
We consider the new divisor 159 and the new remainder 71,and apply the division lemma to get
159 = 71 x 2 + 17
We consider the new divisor 71 and the new remainder 17,and apply the division lemma to get
71 = 17 x 4 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6031 and 2706 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(71,17) = HCF(159,71) = HCF(230,159) = HCF(619,230) = HCF(2706,619) = HCF(6031,2706) .
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Frequently Asked Questions on HCF of 6031, 2706 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 6031, 2706?
Answer: HCF of 6031, 2706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6031, 2706 using Euclid's Algorithm?
Answer: For arbitrary numbers 6031, 2706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
