Highest Common Factor of 549, 847, 679 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 549, 847, 679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 549, 847, 679 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 549, 847, 679 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 549, 847, 679 is 1.

HCF(549, 847, 679) = 1

HCF of 549, 847, 679 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 549, 847, 679 is 1.

Highest Common Factor of 549,847,679 using Euclid's algorithm

Highest Common Factor of 549,847,679 is 1

Step 1: Since 847 > 549, we apply the division lemma to 847 and 549, to get

847 = 549 x 1 + 298

Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 298 and 549, to get

549 = 298 x 1 + 251

Step 3: We consider the new divisor 298 and the new remainder 251, and apply the division lemma to get

298 = 251 x 1 + 47

We consider the new divisor 251 and the new remainder 47,and apply the division lemma to get

251 = 47 x 5 + 16

We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get

47 = 16 x 2 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 549 and 847 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(251,47) = HCF(298,251) = HCF(549,298) = HCF(847,549) .

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

Step 1: Since 679 > 1, we apply the division lemma to 679 and 1, to get

679 = 1 x 679 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 679 is 1

Notice that 1 = HCF(679,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 549, 847, 679 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 549, 847, 679?

Answer: HCF of 549, 847, 679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 549, 847, 679 using Euclid's Algorithm?

Answer: For arbitrary numbers 549, 847, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.