Highest Common Factor of 898, 549, 456, 311 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 898, 549, 456, 311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 898, 549, 456, 311 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 898, 549, 456, 311 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 898, 549, 456, 311 is 1.

HCF(898, 549, 456, 311) = 1

HCF of 898, 549, 456, 311 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 898, 549, 456, 311 is 1.

Highest Common Factor of 898,549,456,311 using Euclid's algorithm

Highest Common Factor of 898,549,456,311 is 1

Step 1: Since 898 > 549, we apply the division lemma to 898 and 549, to get

898 = 549 x 1 + 349

Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 349 and 549, to get

549 = 349 x 1 + 200

Step 3: We consider the new divisor 349 and the new remainder 200, and apply the division lemma to get

349 = 200 x 1 + 149

We consider the new divisor 200 and the new remainder 149,and apply the division lemma to get

200 = 149 x 1 + 51

We consider the new divisor 149 and the new remainder 51,and apply the division lemma to get

149 = 51 x 2 + 47

We consider the new divisor 51 and the new remainder 47,and apply the division lemma to get

51 = 47 x 1 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 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 898 and 549 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(51,47) = HCF(149,51) = HCF(200,149) = HCF(349,200) = HCF(549,349) = HCF(898,549) .

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

Step 1: Since 456 > 1, we apply the division lemma to 456 and 1, to get

456 = 1 x 456 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 456 is 1

Notice that 1 = HCF(456,1) .

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

Step 1: Since 311 > 1, we apply the division lemma to 311 and 1, to get

311 = 1 x 311 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 311 is 1

Notice that 1 = HCF(311,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 898, 549, 456, 311 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 898, 549, 456, 311?

Answer: HCF of 898, 549, 456, 311 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 898, 549, 456, 311 using Euclid's Algorithm?

Answer: For arbitrary numbers 898, 549, 456, 311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.