Highest Common Factor of 542, 9590, 3707 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, 9590, 3707 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 9590, 3707 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 542, 9590, 3707 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, 9590, 3707 is 1.

HCF(542, 9590, 3707) = 1

HCF of 542, 9590, 3707 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, 9590, 3707 is 1.

Highest Common Factor of 542,9590,3707 using Euclid's algorithm

Highest Common Factor of 542,9590,3707 is 1

Step 1: Since 9590 > 542, we apply the division lemma to 9590 and 542, to get

9590 = 542 x 17 + 376

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 376 and 542, to get

542 = 376 x 1 + 166

Step 3: We consider the new divisor 376 and the new remainder 166, and apply the division lemma to get

376 = 166 x 2 + 44

We consider the new divisor 166 and the new remainder 44,and apply the division lemma to get

166 = 44 x 3 + 34

We consider the new divisor 44 and the new remainder 34,and apply the division lemma to get

44 = 34 x 1 + 10

We consider the new divisor 34 and the new remainder 10,and apply the division lemma to get

34 = 10 x 3 + 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 9590 is 2

Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(34,10) = HCF(44,34) = HCF(166,44) = HCF(376,166) = HCF(542,376) = HCF(9590,542) .

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

Step 1: Since 3707 > 2, we apply the division lemma to 3707 and 2, to get

3707 = 2 x 1853 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 3707 is 1

Notice that 1 = HCF(2,1) = HCF(3707,2) .

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Frequently Asked Questions on HCF of 542, 9590, 3707 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, 9590, 3707?

Answer: HCF of 542, 9590, 3707 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 9590, 3707 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 9590, 3707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.