Highest Common Factor of 945, 622, 43 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 945, 622, 43 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 945, 622, 43 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 945, 622, 43 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 945, 622, 43 is 1.

HCF(945, 622, 43) = 1

HCF of 945, 622, 43 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 945, 622, 43 is 1.

Highest Common Factor of 945,622,43 using Euclid's algorithm

Highest Common Factor of 945,622,43 is 1

Step 1: Since 945 > 622, we apply the division lemma to 945 and 622, to get

945 = 622 x 1 + 323

Step 2: Since the reminder 622 ≠ 0, we apply division lemma to 323 and 622, to get

622 = 323 x 1 + 299

Step 3: We consider the new divisor 323 and the new remainder 299, and apply the division lemma to get

323 = 299 x 1 + 24

We consider the new divisor 299 and the new remainder 24,and apply the division lemma to get

299 = 24 x 12 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 945 and 622 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(299,24) = HCF(323,299) = HCF(622,323) = HCF(945,622) .

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

Step 1: Since 43 > 1, we apply the division lemma to 43 and 1, to get

43 = 1 x 43 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43 is 1

Notice that 1 = HCF(43,1) .

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Frequently Asked Questions on HCF of 945, 622, 43 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 945, 622, 43?

Answer: HCF of 945, 622, 43 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 945, 622, 43 using Euclid's Algorithm?

Answer: For arbitrary numbers 945, 622, 43 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.