Highest Common Factor of 858, 523, 850 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 858, 523, 850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 858, 523, 850 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 858, 523, 850 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 858, 523, 850 is 1.
HCF(858, 523, 850) = 1
HCF of 858, 523, 850 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 858, 523, 850 is 1.
Highest Common Factor of 858,523,850 is 1
Step 1: Since 858 > 523, we apply the division lemma to 858 and 523, to get
858 = 523 x 1 + 335
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 335 and 523, to get
523 = 335 x 1 + 188
Step 3: We consider the new divisor 335 and the new remainder 188, and apply the division lemma to get
335 = 188 x 1 + 147
We consider the new divisor 188 and the new remainder 147,and apply the division lemma to get
188 = 147 x 1 + 41
We consider the new divisor 147 and the new remainder 41,and apply the division lemma to get
147 = 41 x 3 + 24
We consider the new divisor 41 and the new remainder 24,and apply the division lemma to get
41 = 24 x 1 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 858 and 523 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(41,24) = HCF(147,41) = HCF(188,147) = HCF(335,188) = HCF(523,335) = HCF(858,523) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 850 > 1, we apply the division lemma to 850 and 1, to get
850 = 1 x 850 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 850 is 1
Notice that 1 = HCF(850,1) .
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Frequently Asked Questions on HCF of 858, 523, 850 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 858, 523, 850?
Answer: HCF of 858, 523, 850 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 858, 523, 850 using Euclid's Algorithm?
Answer: For arbitrary numbers 858, 523, 850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.