Highest Common Factor of 5353, 1158 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 5353, 1158 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5353, 1158 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 5353, 1158 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 5353, 1158 is 1.
HCF(5353, 1158) = 1
HCF of 5353, 1158 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5353, 1158 is 1.
Highest Common Factor of 5353,1158 is 1
Step 1: Since 5353 > 1158, we apply the division lemma to 5353 and 1158, to get
5353 = 1158 x 4 + 721
Step 2: Since the reminder 1158 ≠ 0, we apply division lemma to 721 and 1158, to get
1158 = 721 x 1 + 437
Step 3: We consider the new divisor 721 and the new remainder 437, and apply the division lemma to get
721 = 437 x 1 + 284
We consider the new divisor 437 and the new remainder 284,and apply the division lemma to get
437 = 284 x 1 + 153
We consider the new divisor 284 and the new remainder 153,and apply the division lemma to get
284 = 153 x 1 + 131
We consider the new divisor 153 and the new remainder 131,and apply the division lemma to get
153 = 131 x 1 + 22
We consider the new divisor 131 and the new remainder 22,and apply the division lemma to get
131 = 22 x 5 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5353 and 1158 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(131,22) = HCF(153,131) = HCF(284,153) = HCF(437,284) = HCF(721,437) = HCF(1158,721) = HCF(5353,1158) .
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Frequently Asked Questions on HCF of 5353, 1158 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 5353, 1158?
Answer: HCF of 5353, 1158 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5353, 1158 using Euclid's Algorithm?
Answer: For arbitrary numbers 5353, 1158 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
