Highest Common Factor of 607, 452, 402 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 607, 452, 402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 607, 452, 402 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 607, 452, 402 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 607, 452, 402 is 1.

HCF(607, 452, 402) = 1

HCF of 607, 452, 402 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 607, 452, 402 is 1.

Highest Common Factor of 607,452,402 using Euclid's algorithm

Highest Common Factor of 607,452,402 is 1

Step 1: Since 607 > 452, we apply the division lemma to 607 and 452, to get

607 = 452 x 1 + 155

Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 155 and 452, to get

452 = 155 x 2 + 142

Step 3: We consider the new divisor 155 and the new remainder 142, and apply the division lemma to get

155 = 142 x 1 + 13

We consider the new divisor 142 and the new remainder 13,and apply the division lemma to get

142 = 13 x 10 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 452 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(142,13) = HCF(155,142) = HCF(452,155) = HCF(607,452) .

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

Step 1: Since 402 > 1, we apply the division lemma to 402 and 1, to get

402 = 1 x 402 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 402 is 1

Notice that 1 = HCF(402,1) .

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Frequently Asked Questions on HCF of 607, 452, 402 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 607, 452, 402?

Answer: HCF of 607, 452, 402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 607, 452, 402 using Euclid's Algorithm?

Answer: For arbitrary numbers 607, 452, 402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.