Highest Common Factor of 601, 724, 446 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 601, 724, 446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 601, 724, 446 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 601, 724, 446 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 601, 724, 446 is 1.

HCF(601, 724, 446) = 1

HCF of 601, 724, 446 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 601, 724, 446 is 1.

Highest Common Factor of 601,724,446 using Euclid's algorithm

Highest Common Factor of 601,724,446 is 1

Step 1: Since 724 > 601, we apply the division lemma to 724 and 601, to get

724 = 601 x 1 + 123

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 123 and 601, to get

601 = 123 x 4 + 109

Step 3: We consider the new divisor 123 and the new remainder 109, and apply the division lemma to get

123 = 109 x 1 + 14

We consider the new divisor 109 and the new remainder 14,and apply the division lemma to get

109 = 14 x 7 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 601 and 724 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(109,14) = HCF(123,109) = HCF(601,123) = HCF(724,601) .

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

Step 1: Since 446 > 1, we apply the division lemma to 446 and 1, to get

446 = 1 x 446 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 446 is 1

Notice that 1 = HCF(446,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 601, 724, 446 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 601, 724, 446?

Answer: HCF of 601, 724, 446 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 601, 724, 446 using Euclid's Algorithm?

Answer: For arbitrary numbers 601, 724, 446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.