Highest Common Factor of 604, 26792 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, 26792 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 604, 26792 is 4 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, 26792 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, 26792 is 4.

HCF(604, 26792) = 4

HCF of 604, 26792 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, 26792 is 4.

Highest Common Factor of 604,26792 using Euclid's algorithm

Highest Common Factor of 604,26792 is 4

Step 1: Since 26792 > 604, we apply the division lemma to 26792 and 604, to get

26792 = 604 x 44 + 216

Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 216 and 604, to get

604 = 216 x 2 + 172

Step 3: We consider the new divisor 216 and the new remainder 172, and apply the division lemma to get

216 = 172 x 1 + 44

We consider the new divisor 172 and the new remainder 44,and apply the division lemma to get

172 = 44 x 3 + 40

We consider the new divisor 44 and the new remainder 40,and apply the division lemma to get

44 = 40 x 1 + 4

We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get

40 = 4 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 604 and 26792 is 4

Notice that 4 = HCF(40,4) = HCF(44,40) = HCF(172,44) = HCF(216,172) = HCF(604,216) = HCF(26792,604) .

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Frequently Asked Questions on HCF of 604, 26792 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, 26792?

Answer: HCF of 604, 26792 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 604, 26792 using Euclid's Algorithm?

Answer: For arbitrary numbers 604, 26792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.