Highest Common Factor of 1801, 7658 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 1801, 7658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1801, 7658 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 1801, 7658 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 1801, 7658 is 1.

HCF(1801, 7658) = 1

HCF of 1801, 7658 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 1801, 7658 is 1.

Highest Common Factor of 1801,7658 using Euclid's algorithm

Highest Common Factor of 1801,7658 is 1

Step 1: Since 7658 > 1801, we apply the division lemma to 7658 and 1801, to get

7658 = 1801 x 4 + 454

Step 2: Since the reminder 1801 ≠ 0, we apply division lemma to 454 and 1801, to get

1801 = 454 x 3 + 439

Step 3: We consider the new divisor 454 and the new remainder 439, and apply the division lemma to get

454 = 439 x 1 + 15

We consider the new divisor 439 and the new remainder 15,and apply the division lemma to get

439 = 15 x 29 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 1801 and 7658 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(439,15) = HCF(454,439) = HCF(1801,454) = HCF(7658,1801) .

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Frequently Asked Questions on HCF of 1801, 7658 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 1801, 7658?

Answer: HCF of 1801, 7658 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1801, 7658 using Euclid's Algorithm?

Answer: For arbitrary numbers 1801, 7658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.