Highest Common Factor of 607, 987, 67 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, 987, 67 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 607, 987, 67 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, 987, 67 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, 987, 67 is 1.

HCF(607, 987, 67) = 1

HCF of 607, 987, 67 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, 987, 67 is 1.

Highest Common Factor of 607,987,67 using Euclid's algorithm

Highest Common Factor of 607,987,67 is 1

Step 1: Since 987 > 607, we apply the division lemma to 987 and 607, to get

987 = 607 x 1 + 380

Step 2: Since the reminder 607 ≠ 0, we apply division lemma to 380 and 607, to get

607 = 380 x 1 + 227

Step 3: We consider the new divisor 380 and the new remainder 227, and apply the division lemma to get

380 = 227 x 1 + 153

We consider the new divisor 227 and the new remainder 153,and apply the division lemma to get

227 = 153 x 1 + 74

We consider the new divisor 153 and the new remainder 74,and apply the division lemma to get

153 = 74 x 2 + 5

We consider the new divisor 74 and the new remainder 5,and apply the division lemma to get

74 = 5 x 14 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 987 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(74,5) = HCF(153,74) = HCF(227,153) = HCF(380,227) = HCF(607,380) = HCF(987,607) .

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

Step 1: Since 67 > 1, we apply the division lemma to 67 and 1, to get

67 = 1 x 67 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67 is 1

Notice that 1 = HCF(67,1) .

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Frequently Asked Questions on HCF of 607, 987, 67 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, 987, 67?

Answer: HCF of 607, 987, 67 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 607, 987, 67 using Euclid's Algorithm?

Answer: For arbitrary numbers 607, 987, 67 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.