Highest Common Factor of 622, 447, 156 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 622, 447, 156 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 622, 447, 156 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 622, 447, 156 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 622, 447, 156 is 1.

HCF(622, 447, 156) = 1

HCF of 622, 447, 156 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 622, 447, 156 is 1.

Highest Common Factor of 622,447,156 using Euclid's algorithm

Highest Common Factor of 622,447,156 is 1

Step 1: Since 622 > 447, we apply the division lemma to 622 and 447, to get

622 = 447 x 1 + 175

Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 175 and 447, to get

447 = 175 x 2 + 97

Step 3: We consider the new divisor 175 and the new remainder 97, and apply the division lemma to get

175 = 97 x 1 + 78

We consider the new divisor 97 and the new remainder 78,and apply the division lemma to get

97 = 78 x 1 + 19

We consider the new divisor 78 and the new remainder 19,and apply the division lemma to get

78 = 19 x 4 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 622 and 447 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(78,19) = HCF(97,78) = HCF(175,97) = HCF(447,175) = HCF(622,447) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 156 > 1, we apply the division lemma to 156 and 1, to get

156 = 1 x 156 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 156 is 1

Notice that 1 = HCF(156,1) .

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Frequently Asked Questions on HCF of 622, 447, 156 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 622, 447, 156?

Answer: HCF of 622, 447, 156 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 622, 447, 156 using Euclid's Algorithm?

Answer: For arbitrary numbers 622, 447, 156 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.