Highest Common Factor of 486, 832, 584 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 486, 832, 584 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 486, 832, 584 is 2 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 486, 832, 584 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 486, 832, 584 is 2.

HCF(486, 832, 584) = 2

HCF of 486, 832, 584 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 486, 832, 584 is 2.

Highest Common Factor of 486,832,584 using Euclid's algorithm

Highest Common Factor of 486,832,584 is 2

Step 1: Since 832 > 486, we apply the division lemma to 832 and 486, to get

832 = 486 x 1 + 346

Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 346 and 486, to get

486 = 346 x 1 + 140

Step 3: We consider the new divisor 346 and the new remainder 140, and apply the division lemma to get

346 = 140 x 2 + 66

We consider the new divisor 140 and the new remainder 66,and apply the division lemma to get

140 = 66 x 2 + 8

We consider the new divisor 66 and the new remainder 8,and apply the division lemma to get

66 = 8 x 8 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 486 and 832 is 2

Notice that 2 = HCF(8,2) = HCF(66,8) = HCF(140,66) = HCF(346,140) = HCF(486,346) = HCF(832,486) .

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

Step 1: Since 584 > 2, we apply the division lemma to 584 and 2, to get

584 = 2 x 292 + 0

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

Notice that 2 = HCF(584,2) .

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Frequently Asked Questions on HCF of 486, 832, 584 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 486, 832, 584?

Answer: HCF of 486, 832, 584 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 486, 832, 584 using Euclid's Algorithm?

Answer: For arbitrary numbers 486, 832, 584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.