Highest Common Factor of 5358, 9586 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 5358, 9586 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5358, 9586 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 5358, 9586 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 5358, 9586 is 2.
HCF(5358, 9586) = 2
HCF of 5358, 9586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5358, 9586 is 2.
Highest Common Factor of 5358,9586 is 2
Step 1: Since 9586 > 5358, we apply the division lemma to 9586 and 5358, to get
9586 = 5358 x 1 + 4228
Step 2: Since the reminder 5358 ≠ 0, we apply division lemma to 4228 and 5358, to get
5358 = 4228 x 1 + 1130
Step 3: We consider the new divisor 4228 and the new remainder 1130, and apply the division lemma to get
4228 = 1130 x 3 + 838
We consider the new divisor 1130 and the new remainder 838,and apply the division lemma to get
1130 = 838 x 1 + 292
We consider the new divisor 838 and the new remainder 292,and apply the division lemma to get
838 = 292 x 2 + 254
We consider the new divisor 292 and the new remainder 254,and apply the division lemma to get
292 = 254 x 1 + 38
We consider the new divisor 254 and the new remainder 38,and apply the division lemma to get
254 = 38 x 6 + 26
We consider the new divisor 38 and the new remainder 26,and apply the division lemma to get
38 = 26 x 1 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5358 and 9586 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(38,26) = HCF(254,38) = HCF(292,254) = HCF(838,292) = HCF(1130,838) = HCF(4228,1130) = HCF(5358,4228) = HCF(9586,5358) .
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Frequently Asked Questions on HCF of 5358, 9586 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 5358, 9586?
Answer: HCF of 5358, 9586 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5358, 9586 using Euclid's Algorithm?
Answer: For arbitrary numbers 5358, 9586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.