Highest Common Factor of 5557, 826 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 5557, 826 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5557, 826 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 5557, 826 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 5557, 826 is 1.
HCF(5557, 826) = 1
HCF of 5557, 826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5557, 826 is 1.
Highest Common Factor of 5557,826 is 1
Step 1: Since 5557 > 826, we apply the division lemma to 5557 and 826, to get
5557 = 826 x 6 + 601
Step 2: Since the reminder 826 ≠ 0, we apply division lemma to 601 and 826, to get
826 = 601 x 1 + 225
Step 3: We consider the new divisor 601 and the new remainder 225, and apply the division lemma to get
601 = 225 x 2 + 151
We consider the new divisor 225 and the new remainder 151,and apply the division lemma to get
225 = 151 x 1 + 74
We consider the new divisor 151 and the new remainder 74,and apply the division lemma to get
151 = 74 x 2 + 3
We consider the new divisor 74 and the new remainder 3,and apply the division lemma to get
74 = 3 x 24 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5557 and 826 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(74,3) = HCF(151,74) = HCF(225,151) = HCF(601,225) = HCF(826,601) = HCF(5557,826) .
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Frequently Asked Questions on HCF of 5557, 826 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 5557, 826?
Answer: HCF of 5557, 826 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5557, 826 using Euclid's Algorithm?
Answer: For arbitrary numbers 5557, 826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
