Highest Common Factor of 803, 598, 83 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 803, 598, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 598, 83 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 803, 598, 83 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 803, 598, 83 is 1.
HCF(803, 598, 83) = 1
HCF of 803, 598, 83 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 598, 83 is 1.
Highest Common Factor of 803,598,83 is 1
Step 1: Since 803 > 598, we apply the division lemma to 803 and 598, to get
803 = 598 x 1 + 205
Step 2: Since the reminder 598 ≠ 0, we apply division lemma to 205 and 598, to get
598 = 205 x 2 + 188
Step 3: We consider the new divisor 205 and the new remainder 188, and apply the division lemma to get
205 = 188 x 1 + 17
We consider the new divisor 188 and the new remainder 17,and apply the division lemma to get
188 = 17 x 11 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 803 and 598 is 1
Notice that 1 = HCF(17,1) = HCF(188,17) = HCF(205,188) = HCF(598,205) = HCF(803,598) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
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Frequently Asked Questions on HCF of 803, 598, 83 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 803, 598, 83?
Answer: HCF of 803, 598, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 598, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 598, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.