Highest Common Factor of 584, 962, 953 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 584, 962, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 584, 962, 953 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 584, 962, 953 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 584, 962, 953 is 1.

HCF(584, 962, 953) = 1

HCF of 584, 962, 953 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 584, 962, 953 is 1.

Highest Common Factor of 584,962,953 using Euclid's algorithm

Highest Common Factor of 584,962,953 is 1

Step 1: Since 962 > 584, we apply the division lemma to 962 and 584, to get

962 = 584 x 1 + 378

Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 378 and 584, to get

584 = 378 x 1 + 206

Step 3: We consider the new divisor 378 and the new remainder 206, and apply the division lemma to get

378 = 206 x 1 + 172

We consider the new divisor 206 and the new remainder 172,and apply the division lemma to get

206 = 172 x 1 + 34

We consider the new divisor 172 and the new remainder 34,and apply the division lemma to get

172 = 34 x 5 + 2

We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get

34 = 2 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 584 and 962 is 2

Notice that 2 = HCF(34,2) = HCF(172,34) = HCF(206,172) = HCF(378,206) = HCF(584,378) = HCF(962,584) .

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

Step 1: Since 953 > 2, we apply the division lemma to 953 and 2, to get

953 = 2 x 476 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(953,2) .

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Frequently Asked Questions on HCF of 584, 962, 953 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 584, 962, 953?

Answer: HCF of 584, 962, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 584, 962, 953 using Euclid's Algorithm?

Answer: For arbitrary numbers 584, 962, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.