Highest Common Factor of 617, 850, 263, 423 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 617, 850, 263, 423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 617, 850, 263, 423 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 617, 850, 263, 423 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 617, 850, 263, 423 is 1.
HCF(617, 850, 263, 423) = 1
HCF of 617, 850, 263, 423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 617, 850, 263, 423 is 1.
Highest Common Factor of 617,850,263,423 is 1
Step 1: Since 850 > 617, we apply the division lemma to 850 and 617, to get
850 = 617 x 1 + 233
Step 2: Since the reminder 617 ≠ 0, we apply division lemma to 233 and 617, to get
617 = 233 x 2 + 151
Step 3: We consider the new divisor 233 and the new remainder 151, and apply the division lemma to get
233 = 151 x 1 + 82
We consider the new divisor 151 and the new remainder 82,and apply the division lemma to get
151 = 82 x 1 + 69
We consider the new divisor 82 and the new remainder 69,and apply the division lemma to get
82 = 69 x 1 + 13
We consider the new divisor 69 and the new remainder 13,and apply the division lemma to get
69 = 13 x 5 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 617 and 850 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(69,13) = HCF(82,69) = HCF(151,82) = HCF(233,151) = HCF(617,233) = HCF(850,617) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 263 > 1, we apply the division lemma to 263 and 1, to get
263 = 1 x 263 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 263 is 1
Notice that 1 = HCF(263,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 423 > 1, we apply the division lemma to 423 and 1, to get
423 = 1 x 423 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 423 is 1
Notice that 1 = HCF(423,1) .
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Frequently Asked Questions on HCF of 617, 850, 263, 423 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 617, 850, 263, 423?
Answer: HCF of 617, 850, 263, 423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 617, 850, 263, 423 using Euclid's Algorithm?
Answer: For arbitrary numbers 617, 850, 263, 423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.