Highest Common Factor of 829, 925, 161 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 829, 925, 161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 829, 925, 161 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 829, 925, 161 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 829, 925, 161 is 1.
HCF(829, 925, 161) = 1
HCF of 829, 925, 161 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 829, 925, 161 is 1.
Highest Common Factor of 829,925,161 is 1
Step 1: Since 925 > 829, we apply the division lemma to 925 and 829, to get
925 = 829 x 1 + 96
Step 2: Since the reminder 829 ≠ 0, we apply division lemma to 96 and 829, to get
829 = 96 x 8 + 61
Step 3: We consider the new divisor 96 and the new remainder 61, and apply the division lemma to get
96 = 61 x 1 + 35
We consider the new divisor 61 and the new remainder 35,and apply the division lemma to get
61 = 35 x 1 + 26
We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get
35 = 26 x 1 + 9
We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get
26 = 9 x 2 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 829 and 925 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(61,35) = HCF(96,61) = HCF(829,96) = HCF(925,829) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 161 > 1, we apply the division lemma to 161 and 1, to get
161 = 1 x 161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 161 is 1
Notice that 1 = HCF(161,1) .
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Frequently Asked Questions on HCF of 829, 925, 161 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 829, 925, 161?
Answer: HCF of 829, 925, 161 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 829, 925, 161 using Euclid's Algorithm?
Answer: For arbitrary numbers 829, 925, 161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.