Highest Common Factor of 535, 837, 56 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, 837, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 837, 56 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, 837, 56 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, 837, 56 is 1.
HCF(535, 837, 56) = 1
HCF of 535, 837, 56 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, 837, 56 is 1.
Highest Common Factor of 535,837,56 is 1
Step 1: Since 837 > 535, we apply the division lemma to 837 and 535, to get
837 = 535 x 1 + 302
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 302 and 535, to get
535 = 302 x 1 + 233
Step 3: We consider the new divisor 302 and the new remainder 233, and apply the division lemma to get
302 = 233 x 1 + 69
We consider the new divisor 233 and the new remainder 69,and apply the division lemma to get
233 = 69 x 3 + 26
We consider the new divisor 69 and the new remainder 26,and apply the division lemma to get
69 = 26 x 2 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 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 837 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(69,26) = HCF(233,69) = HCF(302,233) = HCF(535,302) = HCF(837,535) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
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Frequently Asked Questions on HCF of 535, 837, 56 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, 837, 56?
Answer: HCF of 535, 837, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 837, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 837, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.