Highest Common Factor of 922, 580, 512 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, 580, 512 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 922, 580, 512 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, 580, 512 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, 580, 512 is 2.

HCF(922, 580, 512) = 2

HCF of 922, 580, 512 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, 580, 512 is 2.

Highest Common Factor of 922,580,512 using Euclid's algorithm

Highest Common Factor of 922,580,512 is 2

Step 1: Since 922 > 580, we apply the division lemma to 922 and 580, to get

922 = 580 x 1 + 342

Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 342 and 580, to get

580 = 342 x 1 + 238

Step 3: We consider the new divisor 342 and the new remainder 238, and apply the division lemma to get

342 = 238 x 1 + 104

We consider the new divisor 238 and the new remainder 104,and apply the division lemma to get

238 = 104 x 2 + 30

We consider the new divisor 104 and the new remainder 30,and apply the division lemma to get

104 = 30 x 3 + 14

We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get

30 = 14 x 2 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 922 and 580 is 2

Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(104,30) = HCF(238,104) = HCF(342,238) = HCF(580,342) = HCF(922,580) .

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

Step 1: Since 512 > 2, we apply the division lemma to 512 and 2, to get

512 = 2 x 256 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 512 is 2

Notice that 2 = HCF(512,2) .

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Frequently Asked Questions on HCF of 922, 580, 512 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, 580, 512?

Answer: HCF of 922, 580, 512 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 922, 580, 512 using Euclid's Algorithm?

Answer: For arbitrary numbers 922, 580, 512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.