Highest Common Factor of 604, 983, 510 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, 983, 510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 604, 983, 510 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, 983, 510 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, 983, 510 is 1.

HCF(604, 983, 510) = 1

HCF of 604, 983, 510 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, 983, 510 is 1.

Highest Common Factor of 604,983,510 using Euclid's algorithm

Highest Common Factor of 604,983,510 is 1

Step 1: Since 983 > 604, we apply the division lemma to 983 and 604, to get

983 = 604 x 1 + 379

Step 2: Since the reminder 604 ≠ 0, we apply division lemma to 379 and 604, to get

604 = 379 x 1 + 225

Step 3: We consider the new divisor 379 and the new remainder 225, and apply the division lemma to get

379 = 225 x 1 + 154

We consider the new divisor 225 and the new remainder 154,and apply the division lemma to get

225 = 154 x 1 + 71

We consider the new divisor 154 and the new remainder 71,and apply the division lemma to get

154 = 71 x 2 + 12

We consider the new divisor 71 and the new remainder 12,and apply the division lemma to get

71 = 12 x 5 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 604 and 983 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(71,12) = HCF(154,71) = HCF(225,154) = HCF(379,225) = HCF(604,379) = HCF(983,604) .

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

Step 1: Since 510 > 1, we apply the division lemma to 510 and 1, to get

510 = 1 x 510 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 510 is 1

Notice that 1 = HCF(510,1) .

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Frequently Asked Questions on HCF of 604, 983, 510 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, 983, 510?

Answer: HCF of 604, 983, 510 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 604, 983, 510 using Euclid's Algorithm?

Answer: For arbitrary numbers 604, 983, 510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.