Highest Common Factor of 4092, 6953 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 4092, 6953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4092, 6953 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 4092, 6953 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 4092, 6953 is 1.

HCF(4092, 6953) = 1

HCF of 4092, 6953 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 4092, 6953 is 1.

Highest Common Factor of 4092,6953 using Euclid's algorithm

Highest Common Factor of 4092,6953 is 1

Step 1: Since 6953 > 4092, we apply the division lemma to 6953 and 4092, to get

6953 = 4092 x 1 + 2861

Step 2: Since the reminder 4092 ≠ 0, we apply division lemma to 2861 and 4092, to get

4092 = 2861 x 1 + 1231

Step 3: We consider the new divisor 2861 and the new remainder 1231, and apply the division lemma to get

2861 = 1231 x 2 + 399

We consider the new divisor 1231 and the new remainder 399,and apply the division lemma to get

1231 = 399 x 3 + 34

We consider the new divisor 399 and the new remainder 34,and apply the division lemma to get

399 = 34 x 11 + 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 4092 and 6953 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(399,34) = HCF(1231,399) = HCF(2861,1231) = HCF(4092,2861) = HCF(6953,4092) .

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Frequently Asked Questions on HCF of 4092, 6953 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 4092, 6953?

Answer: HCF of 4092, 6953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4092, 6953 using Euclid's Algorithm?

Answer: For arbitrary numbers 4092, 6953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.