Highest Common Factor of 535, 861, 22 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 535, 861, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 861, 22 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 535, 861, 22 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 535, 861, 22 is 1.
HCF(535, 861, 22) = 1
HCF of 535, 861, 22 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 861, 22 is 1.
Highest Common Factor of 535,861,22 is 1
Step 1: Since 861 > 535, we apply the division lemma to 861 and 535, to get
861 = 535 x 1 + 326
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 326 and 535, to get
535 = 326 x 1 + 209
Step 3: We consider the new divisor 326 and the new remainder 209, and apply the division lemma to get
326 = 209 x 1 + 117
We consider the new divisor 209 and the new remainder 117,and apply the division lemma to get
209 = 117 x 1 + 92
We consider the new divisor 117 and the new remainder 92,and apply the division lemma to get
117 = 92 x 1 + 25
We consider the new divisor 92 and the new remainder 25,and apply the division lemma to get
92 = 25 x 3 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 861 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(92,25) = HCF(117,92) = HCF(209,117) = HCF(326,209) = HCF(535,326) = HCF(861,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1
Notice that 1 = HCF(22,1) .
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Frequently Asked Questions on HCF of 535, 861, 22 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 535, 861, 22?
Answer: HCF of 535, 861, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 861, 22 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 861, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.