Highest Common Factor of 469, 810, 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 469, 810, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 469, 810, 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 469, 810, 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 469, 810, 83 is 1.
HCF(469, 810, 83) = 1
HCF of 469, 810, 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 469, 810, 83 is 1.
Highest Common Factor of 469,810,83 is 1
Step 1: Since 810 > 469, we apply the division lemma to 810 and 469, to get
810 = 469 x 1 + 341
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 341 and 469, to get
469 = 341 x 1 + 128
Step 3: We consider the new divisor 341 and the new remainder 128, and apply the division lemma to get
341 = 128 x 2 + 85
We consider the new divisor 128 and the new remainder 85,and apply the division lemma to get
128 = 85 x 1 + 43
We consider the new divisor 85 and the new remainder 43,and apply the division lemma to get
85 = 43 x 1 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 469 and 810 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(85,43) = HCF(128,85) = HCF(341,128) = HCF(469,341) = HCF(810,469) .
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) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 469, 810, 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 469, 810, 83?
Answer: HCF of 469, 810, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 469, 810, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 469, 810, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.