Highest Common Factor of 542, 832, 624 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 542, 832, 624 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 832, 624 is 2 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 542, 832, 624 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 542, 832, 624 is 2.

HCF(542, 832, 624) = 2

HCF of 542, 832, 624 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 542, 832, 624 is 2.

Highest Common Factor of 542,832,624 using Euclid's algorithm

Highest Common Factor of 542,832,624 is 2

Step 1: Since 832 > 542, we apply the division lemma to 832 and 542, to get

832 = 542 x 1 + 290

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 290 and 542, to get

542 = 290 x 1 + 252

Step 3: We consider the new divisor 290 and the new remainder 252, and apply the division lemma to get

290 = 252 x 1 + 38

We consider the new divisor 252 and the new remainder 38,and apply the division lemma to get

252 = 38 x 6 + 24

We consider the new divisor 38 and the new remainder 24,and apply the division lemma to get

38 = 24 x 1 + 14

We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get

24 = 14 x 1 + 10

We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get

14 = 10 x 1 + 4

We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get

10 = 4 x 2 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 542 and 832 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(38,24) = HCF(252,38) = HCF(290,252) = HCF(542,290) = HCF(832,542) .

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

Step 1: Since 624 > 2, we apply the division lemma to 624 and 2, to get

624 = 2 x 312 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 624 is 2

Notice that 2 = HCF(624,2) .

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Frequently Asked Questions on HCF of 542, 832, 624 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 542, 832, 624?

Answer: HCF of 542, 832, 624 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 832, 624 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 832, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.