Highest Common Factor of 604, 769, 645 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 604, 769, 645 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 604, 769, 645 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 604, 769, 645 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 604, 769, 645 is 1.

HCF(604, 769, 645) = 1

HCF of 604, 769, 645 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 604, 769, 645 is 1.

Highest Common Factor of 604,769,645 using Euclid's algorithm

Highest Common Factor of 604,769,645 is 1

Step 1: Since 769 > 604, we apply the division lemma to 769 and 604, to get

769 = 604 x 1 + 165

Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 165 and 604, to get

604 = 165 x 3 + 109

Step 3: We consider the new divisor 165 and the new remainder 109, and apply the division lemma to get

165 = 109 x 1 + 56

We consider the new divisor 109 and the new remainder 56,and apply the division lemma to get

109 = 56 x 1 + 53

We consider the new divisor 56 and the new remainder 53,and apply the division lemma to get

56 = 53 x 1 + 3

We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get

53 = 3 x 17 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 604 and 769 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(56,53) = HCF(109,56) = HCF(165,109) = HCF(604,165) = HCF(769,604) .

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

Step 1: Since 645 > 1, we apply the division lemma to 645 and 1, to get

645 = 1 x 645 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 645 is 1

Notice that 1 = HCF(645,1) .

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Frequently Asked Questions on HCF of 604, 769, 645 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 604, 769, 645?

Answer: HCF of 604, 769, 645 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 604, 769, 645 using Euclid's Algorithm?

Answer: For arbitrary numbers 604, 769, 645 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.