Highest Common Factor of 826, 25841 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 826, 25841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 25841 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 826, 25841 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 826, 25841 is 1.
HCF(826, 25841) = 1
HCF of 826, 25841 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 25841 is 1.
Highest Common Factor of 826,25841 is 1
Step 1: Since 25841 > 826, we apply the division lemma to 25841 and 826, to get
25841 = 826 x 31 + 235
Step 2: Since the reminder 826 ≠ 0, we apply division lemma to 235 and 826, to get
826 = 235 x 3 + 121
Step 3: We consider the new divisor 235 and the new remainder 121, and apply the division lemma to get
235 = 121 x 1 + 114
We consider the new divisor 121 and the new remainder 114,and apply the division lemma to get
121 = 114 x 1 + 7
We consider the new divisor 114 and the new remainder 7,and apply the division lemma to get
114 = 7 x 16 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 826 and 25841 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(114,7) = HCF(121,114) = HCF(235,121) = HCF(826,235) = HCF(25841,826) .
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Frequently Asked Questions on HCF of 826, 25841 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 826, 25841?
Answer: HCF of 826, 25841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 25841 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 25841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.