Highest Common Factor of 5913, 1091 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 5913, 1091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5913, 1091 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 5913, 1091 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 5913, 1091 is 1.
HCF(5913, 1091) = 1
HCF of 5913, 1091 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5913, 1091 is 1.
Highest Common Factor of 5913,1091 is 1
Step 1: Since 5913 > 1091, we apply the division lemma to 5913 and 1091, to get
5913 = 1091 x 5 + 458
Step 2: Since the reminder 1091 ≠ 0, we apply division lemma to 458 and 1091, to get
1091 = 458 x 2 + 175
Step 3: We consider the new divisor 458 and the new remainder 175, and apply the division lemma to get
458 = 175 x 2 + 108
We consider the new divisor 175 and the new remainder 108,and apply the division lemma to get
175 = 108 x 1 + 67
We consider the new divisor 108 and the new remainder 67,and apply the division lemma to get
108 = 67 x 1 + 41
We consider the new divisor 67 and the new remainder 41,and apply the division lemma to get
67 = 41 x 1 + 26
We consider the new divisor 41 and the new remainder 26,and apply the division lemma to get
41 = 26 x 1 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5913 and 1091 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(41,26) = HCF(67,41) = HCF(108,67) = HCF(175,108) = HCF(458,175) = HCF(1091,458) = HCF(5913,1091) .
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Frequently Asked Questions on HCF of 5913, 1091 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 5913, 1091?
Answer: HCF of 5913, 1091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5913, 1091 using Euclid's Algorithm?
Answer: For arbitrary numbers 5913, 1091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.