Highest Common Factor of 552, 211, 36, 827 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 552, 211, 36, 827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 552, 211, 36, 827 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 552, 211, 36, 827 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 552, 211, 36, 827 is 1.
HCF(552, 211, 36, 827) = 1
HCF of 552, 211, 36, 827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 552, 211, 36, 827 is 1.
Highest Common Factor of 552,211,36,827 is 1
Step 1: Since 552 > 211, we apply the division lemma to 552 and 211, to get
552 = 211 x 2 + 130
Step 2: Since the reminder 211 ≠ 0, we apply division lemma to 130 and 211, to get
211 = 130 x 1 + 81
Step 3: We consider the new divisor 130 and the new remainder 81, and apply the division lemma to get
130 = 81 x 1 + 49
We consider the new divisor 81 and the new remainder 49,and apply the division lemma to get
81 = 49 x 1 + 32
We consider the new divisor 49 and the new remainder 32,and apply the division lemma to get
49 = 32 x 1 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 552 and 211 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(49,32) = HCF(81,49) = HCF(130,81) = HCF(211,130) = HCF(552,211) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36 > 1, we apply the division lemma to 36 and 1, to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36 is 1
Notice that 1 = HCF(36,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 827 > 1, we apply the division lemma to 827 and 1, to get
827 = 1 x 827 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 827 is 1
Notice that 1 = HCF(827,1) .
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Frequently Asked Questions on HCF of 552, 211, 36, 827 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 552, 211, 36, 827?
Answer: HCF of 552, 211, 36, 827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 552, 211, 36, 827 using Euclid's Algorithm?
Answer: For arbitrary numbers 552, 211, 36, 827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.