Highest Common Factor of 3436, 8825 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 3436, 8825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3436, 8825 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 3436, 8825 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 3436, 8825 is 1.

HCF(3436, 8825) = 1

HCF of 3436, 8825 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 3436, 8825 is 1.

Highest Common Factor of 3436,8825 using Euclid's algorithm

Highest Common Factor of 3436,8825 is 1

Step 1: Since 8825 > 3436, we apply the division lemma to 8825 and 3436, to get

8825 = 3436 x 2 + 1953

Step 2: Since the reminder 3436 ≠ 0, we apply division lemma to 1953 and 3436, to get

3436 = 1953 x 1 + 1483

Step 3: We consider the new divisor 1953 and the new remainder 1483, and apply the division lemma to get

1953 = 1483 x 1 + 470

We consider the new divisor 1483 and the new remainder 470,and apply the division lemma to get

1483 = 470 x 3 + 73

We consider the new divisor 470 and the new remainder 73,and apply the division lemma to get

470 = 73 x 6 + 32

We consider the new divisor 73 and the new remainder 32,and apply the division lemma to get

73 = 32 x 2 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3436 and 8825 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(73,32) = HCF(470,73) = HCF(1483,470) = HCF(1953,1483) = HCF(3436,1953) = HCF(8825,3436) .

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Frequently Asked Questions on HCF of 3436, 8825 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 3436, 8825?

Answer: HCF of 3436, 8825 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3436, 8825 using Euclid's Algorithm?

Answer: For arbitrary numbers 3436, 8825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.