Highest Common Factor of 390, 765, 612, 533 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 390, 765, 612, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 390, 765, 612, 533 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 390, 765, 612, 533 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 390, 765, 612, 533 is 1.

HCF(390, 765, 612, 533) = 1

HCF of 390, 765, 612, 533 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 390, 765, 612, 533 is 1.

Highest Common Factor of 390,765,612,533 using Euclid's algorithm

Highest Common Factor of 390,765,612,533 is 1

Step 1: Since 765 > 390, we apply the division lemma to 765 and 390, to get

765 = 390 x 1 + 375

Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 375 and 390, to get

390 = 375 x 1 + 15

Step 3: We consider the new divisor 375 and the new remainder 15, and apply the division lemma to get

375 = 15 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 390 and 765 is 15

Notice that 15 = HCF(375,15) = HCF(390,375) = HCF(765,390) .

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

Step 1: Since 612 > 15, we apply the division lemma to 612 and 15, to get

612 = 15 x 40 + 12

Step 2: Since the reminder 15 ≠ 0, we apply division lemma to 12 and 15, to get

15 = 12 x 1 + 3

Step 3: We consider the new divisor 12 and the new remainder 3, and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 15 and 612 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(612,15) .

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

Step 1: Since 533 > 3, we apply the division lemma to 533 and 3, to get

533 = 3 x 177 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 533 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(533,3) .

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Frequently Asked Questions on HCF of 390, 765, 612, 533 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 390, 765, 612, 533?

Answer: HCF of 390, 765, 612, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 390, 765, 612, 533 using Euclid's Algorithm?

Answer: For arbitrary numbers 390, 765, 612, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.