Highest Common Factor of 624, 954, 59 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 624, 954, 59 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 624, 954, 59 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 624, 954, 59 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 624, 954, 59 is 1.

HCF(624, 954, 59) = 1

HCF of 624, 954, 59 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 624, 954, 59 is 1.

Highest Common Factor of 624,954,59 using Euclid's algorithm

Highest Common Factor of 624,954,59 is 1

Step 1: Since 954 > 624, we apply the division lemma to 954 and 624, to get

954 = 624 x 1 + 330

Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 330 and 624, to get

624 = 330 x 1 + 294

Step 3: We consider the new divisor 330 and the new remainder 294, and apply the division lemma to get

330 = 294 x 1 + 36

We consider the new divisor 294 and the new remainder 36,and apply the division lemma to get

294 = 36 x 8 + 6

We consider the new divisor 36 and the new remainder 6,and apply the division lemma to get

36 = 6 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 624 and 954 is 6

Notice that 6 = HCF(36,6) = HCF(294,36) = HCF(330,294) = HCF(624,330) = HCF(954,624) .

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

Step 1: Since 59 > 6, we apply the division lemma to 59 and 6, to get

59 = 6 x 9 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 59 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(59,6) .

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Frequently Asked Questions on HCF of 624, 954, 59 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 624, 954, 59?

Answer: HCF of 624, 954, 59 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 624, 954, 59 using Euclid's Algorithm?

Answer: For arbitrary numbers 624, 954, 59 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.