Highest Common Factor of 5361, 2236 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 5361, 2236 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5361, 2236 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 5361, 2236 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 5361, 2236 is 1.
HCF(5361, 2236) = 1
HCF of 5361, 2236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5361, 2236 is 1.
Highest Common Factor of 5361,2236 is 1
Step 1: Since 5361 > 2236, we apply the division lemma to 5361 and 2236, to get
5361 = 2236 x 2 + 889
Step 2: Since the reminder 2236 ≠ 0, we apply division lemma to 889 and 2236, to get
2236 = 889 x 2 + 458
Step 3: We consider the new divisor 889 and the new remainder 458, and apply the division lemma to get
889 = 458 x 1 + 431
We consider the new divisor 458 and the new remainder 431,and apply the division lemma to get
458 = 431 x 1 + 27
We consider the new divisor 431 and the new remainder 27,and apply the division lemma to get
431 = 27 x 15 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5361 and 2236 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(431,27) = HCF(458,431) = HCF(889,458) = HCF(2236,889) = HCF(5361,2236) .
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Frequently Asked Questions on HCF of 5361, 2236 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 5361, 2236?
Answer: HCF of 5361, 2236 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5361, 2236 using Euclid's Algorithm?
Answer: For arbitrary numbers 5361, 2236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.