Highest Common Factor of 9139, 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 9139, 2706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9139, 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 9139, 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 9139, 2706 is 1.
HCF(9139, 2706) = 1
HCF of 9139, 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 9139, 2706 is 1.
Highest Common Factor of 9139,2706 is 1
Step 1: Since 9139 > 2706, we apply the division lemma to 9139 and 2706, to get
9139 = 2706 x 3 + 1021
Step 2: Since the reminder 2706 ≠ 0, we apply division lemma to 1021 and 2706, to get
2706 = 1021 x 2 + 664
Step 3: We consider the new divisor 1021 and the new remainder 664, and apply the division lemma to get
1021 = 664 x 1 + 357
We consider the new divisor 664 and the new remainder 357,and apply the division lemma to get
664 = 357 x 1 + 307
We consider the new divisor 357 and the new remainder 307,and apply the division lemma to get
357 = 307 x 1 + 50
We consider the new divisor 307 and the new remainder 50,and apply the division lemma to get
307 = 50 x 6 + 7
We consider the new divisor 50 and the new remainder 7,and apply the division lemma to get
50 = 7 x 7 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9139 and 2706 is 1
Notice that 1 = HCF(7,1) = HCF(50,7) = HCF(307,50) = HCF(357,307) = HCF(664,357) = HCF(1021,664) = HCF(2706,1021) = HCF(9139,2706) .
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Frequently Asked Questions on HCF of 9139, 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 9139, 2706?
Answer: HCF of 9139, 2706 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9139, 2706 using Euclid's Algorithm?
Answer: For arbitrary numbers 9139, 2706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.