Highest Common Factor of 984, 583, 438 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 984, 583, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 984, 583, 438 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 984, 583, 438 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 984, 583, 438 is 1.

HCF(984, 583, 438) = 1

HCF of 984, 583, 438 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 984, 583, 438 is 1.

Highest Common Factor of 984,583,438 using Euclid's algorithm

Highest Common Factor of 984,583,438 is 1

Step 1: Since 984 > 583, we apply the division lemma to 984 and 583, to get

984 = 583 x 1 + 401

Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 401 and 583, to get

583 = 401 x 1 + 182

Step 3: We consider the new divisor 401 and the new remainder 182, and apply the division lemma to get

401 = 182 x 2 + 37

We consider the new divisor 182 and the new remainder 37,and apply the division lemma to get

182 = 37 x 4 + 34

We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get

37 = 34 x 1 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 984 and 583 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(182,37) = HCF(401,182) = HCF(583,401) = HCF(984,583) .

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

Step 1: Since 438 > 1, we apply the division lemma to 438 and 1, to get

438 = 1 x 438 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 438 is 1

Notice that 1 = HCF(438,1) .

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Frequently Asked Questions on HCF of 984, 583, 438 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 984, 583, 438?

Answer: HCF of 984, 583, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 984, 583, 438 using Euclid's Algorithm?

Answer: For arbitrary numbers 984, 583, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.