Highest Common Factor of 436, 675, 612 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 436, 675, 612 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 436, 675, 612 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 436, 675, 612 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 436, 675, 612 is 1.

HCF(436, 675, 612) = 1

HCF of 436, 675, 612 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 436, 675, 612 is 1.

Highest Common Factor of 436,675,612 using Euclid's algorithm

Highest Common Factor of 436,675,612 is 1

Step 1: Since 675 > 436, we apply the division lemma to 675 and 436, to get

675 = 436 x 1 + 239

Step 2: Since the reminder 436 ≠ 0, we apply division lemma to 239 and 436, to get

436 = 239 x 1 + 197

Step 3: We consider the new divisor 239 and the new remainder 197, and apply the division lemma to get

239 = 197 x 1 + 42

We consider the new divisor 197 and the new remainder 42,and apply the division lemma to get

197 = 42 x 4 + 29

We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get

42 = 29 x 1 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 436 and 675 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(197,42) = HCF(239,197) = HCF(436,239) = HCF(675,436) .

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

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

612 = 1 x 612 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 612 is 1

Notice that 1 = HCF(612,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 436, 675, 612 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 436, 675, 612?

Answer: HCF of 436, 675, 612 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 436, 675, 612 using Euclid's Algorithm?

Answer: For arbitrary numbers 436, 675, 612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.