Highest Common Factor of 922, 582, 608 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 922, 582, 608 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 582, 608 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 922, 582, 608 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 922, 582, 608 is 2.

HCF(922, 582, 608) = 2

HCF of 922, 582, 608 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 922, 582, 608 is 2.

Highest Common Factor of 922,582,608 using Euclid's algorithm

Highest Common Factor of 922,582,608 is 2

Step 1: Since 922 > 582, we apply the division lemma to 922 and 582, to get

922 = 582 x 1 + 340

Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 340 and 582, to get

582 = 340 x 1 + 242

Step 3: We consider the new divisor 340 and the new remainder 242, and apply the division lemma to get

340 = 242 x 1 + 98

We consider the new divisor 242 and the new remainder 98,and apply the division lemma to get

242 = 98 x 2 + 46

We consider the new divisor 98 and the new remainder 46,and apply the division lemma to get

98 = 46 x 2 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 582 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(98,46) = HCF(242,98) = HCF(340,242) = HCF(582,340) = HCF(922,582) .

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

Step 1: Since 608 > 2, we apply the division lemma to 608 and 2, to get

608 = 2 x 304 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 608 is 2

Notice that 2 = HCF(608,2) .

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Frequently Asked Questions on HCF of 922, 582, 608 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 922, 582, 608?

Answer: HCF of 922, 582, 608 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 582, 608 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 582, 608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.