Highest Common Factor of 826, 511, 89 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, 511, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 511, 89 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, 511, 89 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, 511, 89 is 1.
HCF(826, 511, 89) = 1
HCF of 826, 511, 89 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, 511, 89 is 1.
Highest Common Factor of 826,511,89 is 1
Step 1: Since 826 > 511, we apply the division lemma to 826 and 511, to get
826 = 511 x 1 + 315
Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 315 and 511, to get
511 = 315 x 1 + 196
Step 3: We consider the new divisor 315 and the new remainder 196, and apply the division lemma to get
315 = 196 x 1 + 119
We consider the new divisor 196 and the new remainder 119,and apply the division lemma to get
196 = 119 x 1 + 77
We consider the new divisor 119 and the new remainder 77,and apply the division lemma to get
119 = 77 x 1 + 42
We consider the new divisor 77 and the new remainder 42,and apply the division lemma to get
77 = 42 x 1 + 35
We consider the new divisor 42 and the new remainder 35,and apply the division lemma to get
42 = 35 x 1 + 7
We consider the new divisor 35 and the new remainder 7,and apply the division lemma to get
35 = 7 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 826 and 511 is 7
Notice that 7 = HCF(35,7) = HCF(42,35) = HCF(77,42) = HCF(119,77) = HCF(196,119) = HCF(315,196) = HCF(511,315) = HCF(826,511) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 7, we apply the division lemma to 89 and 7, to get
89 = 7 x 12 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: We consider the new divisor 5 and the new remainder 2, and apply the division lemma to get
5 = 2 x 2 + 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 7 and 89 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(89,7) .
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Frequently Asked Questions on HCF of 826, 511, 89 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, 511, 89?
Answer: HCF of 826, 511, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 511, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 511, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.