Highest Common Factor of 624, 792, 539 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, 792, 539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 624, 792, 539 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, 792, 539 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, 792, 539 is 1.

HCF(624, 792, 539) = 1

HCF of 624, 792, 539 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, 792, 539 is 1.

Highest Common Factor of 624,792,539 using Euclid's algorithm

Highest Common Factor of 624,792,539 is 1

Step 1: Since 792 > 624, we apply the division lemma to 792 and 624, to get

792 = 624 x 1 + 168

Step 2: Since the reminder 624 ≠ 0, we apply division lemma to 168 and 624, to get

624 = 168 x 3 + 120

Step 3: We consider the new divisor 168 and the new remainder 120, and apply the division lemma to get

168 = 120 x 1 + 48

We consider the new divisor 120 and the new remainder 48,and apply the division lemma to get

120 = 48 x 2 + 24

We consider the new divisor 48 and the new remainder 24,and apply the division lemma to get

48 = 24 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 624 and 792 is 24

Notice that 24 = HCF(48,24) = HCF(120,48) = HCF(168,120) = HCF(624,168) = HCF(792,624) .

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

Step 1: Since 539 > 24, we apply the division lemma to 539 and 24, to get

539 = 24 x 22 + 11

Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 11 and 24, to get

24 = 11 x 2 + 2

Step 3: 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 24 and 539 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(539,24) .

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Frequently Asked Questions on HCF of 624, 792, 539 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, 792, 539?

Answer: HCF of 624, 792, 539 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 624, 792, 539 using Euclid's Algorithm?

Answer: For arbitrary numbers 624, 792, 539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.