Highest Common Factor of 835, 509, 220, 69 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 835, 509, 220, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 509, 220, 69 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 835, 509, 220, 69 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 835, 509, 220, 69 is 1.
HCF(835, 509, 220, 69) = 1
HCF of 835, 509, 220, 69 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 835, 509, 220, 69 is 1.
Highest Common Factor of 835,509,220,69 is 1
Step 1: Since 835 > 509, we apply the division lemma to 835 and 509, to get
835 = 509 x 1 + 326
Step 2: Since the reminder 509 ≠ 0, we apply division lemma to 326 and 509, to get
509 = 326 x 1 + 183
Step 3: We consider the new divisor 326 and the new remainder 183, and apply the division lemma to get
326 = 183 x 1 + 143
We consider the new divisor 183 and the new remainder 143,and apply the division lemma to get
183 = 143 x 1 + 40
We consider the new divisor 143 and the new remainder 40,and apply the division lemma to get
143 = 40 x 3 + 23
We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get
40 = 23 x 1 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 509 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(143,40) = HCF(183,143) = HCF(326,183) = HCF(509,326) = HCF(835,509) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 220 > 1, we apply the division lemma to 220 and 1, to get
220 = 1 x 220 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 220 is 1
Notice that 1 = HCF(220,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69 > 1, we apply the division lemma to 69 and 1, to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69 is 1
Notice that 1 = HCF(69,1) .
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Frequently Asked Questions on HCF of 835, 509, 220, 69 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 835, 509, 220, 69?
Answer: HCF of 835, 509, 220, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 509, 220, 69 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 509, 220, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.