Highest Common Factor of 819, 597, 627, 55 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 819, 597, 627, 55 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 819, 597, 627, 55 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 819, 597, 627, 55 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 819, 597, 627, 55 is 1.
HCF(819, 597, 627, 55) = 1
HCF of 819, 597, 627, 55 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 819, 597, 627, 55 is 1.
Highest Common Factor of 819,597,627,55 is 1
Step 1: Since 819 > 597, we apply the division lemma to 819 and 597, to get
819 = 597 x 1 + 222
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 222 and 597, to get
597 = 222 x 2 + 153
Step 3: We consider the new divisor 222 and the new remainder 153, and apply the division lemma to get
222 = 153 x 1 + 69
We consider the new divisor 153 and the new remainder 69,and apply the division lemma to get
153 = 69 x 2 + 15
We consider the new divisor 69 and the new remainder 15,and apply the division lemma to get
69 = 15 x 4 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 819 and 597 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(69,15) = HCF(153,69) = HCF(222,153) = HCF(597,222) = HCF(819,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 627 > 3, we apply the division lemma to 627 and 3, to get
627 = 3 x 209 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 627 is 3
Notice that 3 = HCF(627,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 3, we apply the division lemma to 55 and 3, to get
55 = 3 x 18 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 55 is 1
Notice that 1 = HCF(3,1) = HCF(55,3) .
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Frequently Asked Questions on HCF of 819, 597, 627, 55 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 819, 597, 627, 55?
Answer: HCF of 819, 597, 627, 55 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 819, 597, 627, 55 using Euclid's Algorithm?
Answer: For arbitrary numbers 819, 597, 627, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.