Highest Common Factor of 9586, 1270 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 9586, 1270 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9586, 1270 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 9586, 1270 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 9586, 1270 is 2.
HCF(9586, 1270) = 2
HCF of 9586, 1270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9586, 1270 is 2.
Highest Common Factor of 9586,1270 is 2
Step 1: Since 9586 > 1270, we apply the division lemma to 9586 and 1270, to get
9586 = 1270 x 7 + 696
Step 2: Since the reminder 1270 ≠ 0, we apply division lemma to 696 and 1270, to get
1270 = 696 x 1 + 574
Step 3: We consider the new divisor 696 and the new remainder 574, and apply the division lemma to get
696 = 574 x 1 + 122
We consider the new divisor 574 and the new remainder 122,and apply the division lemma to get
574 = 122 x 4 + 86
We consider the new divisor 122 and the new remainder 86,and apply the division lemma to get
122 = 86 x 1 + 36
We consider the new divisor 86 and the new remainder 36,and apply the division lemma to get
86 = 36 x 2 + 14
We consider the new divisor 36 and the new remainder 14,and apply the division lemma to get
36 = 14 x 2 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 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 9586 and 1270 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(36,14) = HCF(86,36) = HCF(122,86) = HCF(574,122) = HCF(696,574) = HCF(1270,696) = HCF(9586,1270) .
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Frequently Asked Questions on HCF of 9586, 1270 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 9586, 1270?
Answer: HCF of 9586, 1270 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9586, 1270 using Euclid's Algorithm?
Answer: For arbitrary numbers 9586, 1270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.