Highest Common Factor of 890, 548, 649 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 890, 548, 649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 890, 548, 649 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 890, 548, 649 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 890, 548, 649 is 1.

HCF(890, 548, 649) = 1

HCF of 890, 548, 649 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 890, 548, 649 is 1.

Highest Common Factor of 890,548,649 using Euclid's algorithm

Highest Common Factor of 890,548,649 is 1

Step 1: Since 890 > 548, we apply the division lemma to 890 and 548, to get

890 = 548 x 1 + 342

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 342 and 548, to get

548 = 342 x 1 + 206

Step 3: We consider the new divisor 342 and the new remainder 206, and apply the division lemma to get

342 = 206 x 1 + 136

We consider the new divisor 206 and the new remainder 136,and apply the division lemma to get

206 = 136 x 1 + 70

We consider the new divisor 136 and the new remainder 70,and apply the division lemma to get

136 = 70 x 1 + 66

We consider the new divisor 70 and the new remainder 66,and apply the division lemma to get

70 = 66 x 1 + 4

We consider the new divisor 66 and the new remainder 4,and apply the division lemma to get

66 = 4 x 16 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 890 and 548 is 2

Notice that 2 = HCF(4,2) = HCF(66,4) = HCF(70,66) = HCF(136,70) = HCF(206,136) = HCF(342,206) = HCF(548,342) = HCF(890,548) .

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

Step 1: Since 649 > 2, we apply the division lemma to 649 and 2, to get

649 = 2 x 324 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 649 is 1

Notice that 1 = HCF(2,1) = HCF(649,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 890, 548, 649 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 890, 548, 649?

Answer: HCF of 890, 548, 649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 890, 548, 649 using Euclid's Algorithm?

Answer: For arbitrary numbers 890, 548, 649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.