Highest Common Factor of 533, 846, 320 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 533, 846, 320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 533, 846, 320 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 533, 846, 320 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 533, 846, 320 is 1.

HCF(533, 846, 320) = 1

HCF of 533, 846, 320 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 533, 846, 320 is 1.

Highest Common Factor of 533,846,320 using Euclid's algorithm

Highest Common Factor of 533,846,320 is 1

Step 1: Since 846 > 533, we apply the division lemma to 846 and 533, to get

846 = 533 x 1 + 313

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 313 and 533, to get

533 = 313 x 1 + 220

Step 3: We consider the new divisor 313 and the new remainder 220, and apply the division lemma to get

313 = 220 x 1 + 93

We consider the new divisor 220 and the new remainder 93,and apply the division lemma to get

220 = 93 x 2 + 34

We consider the new divisor 93 and the new remainder 34,and apply the division lemma to get

93 = 34 x 2 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 533 and 846 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(93,34) = HCF(220,93) = HCF(313,220) = HCF(533,313) = HCF(846,533) .

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

Step 1: Since 320 > 1, we apply the division lemma to 320 and 1, to get

320 = 1 x 320 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 320 is 1

Notice that 1 = HCF(320,1) .

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Frequently Asked Questions on HCF of 533, 846, 320 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 533, 846, 320?

Answer: HCF of 533, 846, 320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 533, 846, 320 using Euclid's Algorithm?

Answer: For arbitrary numbers 533, 846, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.