Highest Common Factor of 583, 955, 913 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 583, 955, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 583, 955, 913 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 583, 955, 913 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 583, 955, 913 is 1.

HCF(583, 955, 913) = 1

HCF of 583, 955, 913 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 583, 955, 913 is 1.

Highest Common Factor of 583,955,913 using Euclid's algorithm

Highest Common Factor of 583,955,913 is 1

Step 1: Since 955 > 583, we apply the division lemma to 955 and 583, to get

955 = 583 x 1 + 372

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 372 and 583, to get

583 = 372 x 1 + 211

Step 3: We consider the new divisor 372 and the new remainder 211, and apply the division lemma to get

372 = 211 x 1 + 161

We consider the new divisor 211 and the new remainder 161,and apply the division lemma to get

211 = 161 x 1 + 50

We consider the new divisor 161 and the new remainder 50,and apply the division lemma to get

161 = 50 x 3 + 11

We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get

50 = 11 x 4 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 583 and 955 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(161,50) = HCF(211,161) = HCF(372,211) = HCF(583,372) = HCF(955,583) .

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

Step 1: Since 913 > 1, we apply the division lemma to 913 and 1, to get

913 = 1 x 913 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 913 is 1

Notice that 1 = HCF(913,1) .

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Frequently Asked Questions on HCF of 583, 955, 913 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 583, 955, 913?

Answer: HCF of 583, 955, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 583, 955, 913 using Euclid's Algorithm?

Answer: For arbitrary numbers 583, 955, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.