Highest Common Factor of 6154, 445 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 6154, 445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6154, 445 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 6154, 445 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 6154, 445 is 1.

HCF(6154, 445) = 1

HCF of 6154, 445 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 6154, 445 is 1.

Highest Common Factor of 6154,445 using Euclid's algorithm

Highest Common Factor of 6154,445 is 1

Step 1: Since 6154 > 445, we apply the division lemma to 6154 and 445, to get

6154 = 445 x 13 + 369

Step 2: Since the reminder 445 ≠ 0, we apply division lemma to 369 and 445, to get

445 = 369 x 1 + 76

Step 3: We consider the new divisor 369 and the new remainder 76, and apply the division lemma to get

369 = 76 x 4 + 65

We consider the new divisor 76 and the new remainder 65,and apply the division lemma to get

76 = 65 x 1 + 11

We consider the new divisor 65 and the new remainder 11,and apply the division lemma to get

65 = 11 x 5 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6154 and 445 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(65,11) = HCF(76,65) = HCF(369,76) = HCF(445,369) = HCF(6154,445) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6154, 445 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 6154, 445?

Answer: HCF of 6154, 445 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6154, 445 using Euclid's Algorithm?

Answer: For arbitrary numbers 6154, 445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.