Highest Common Factor of 546, 899, 949 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 546, 899, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 546, 899, 949 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 546, 899, 949 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 546, 899, 949 is 1.

HCF(546, 899, 949) = 1

HCF of 546, 899, 949 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 546, 899, 949 is 1.

Highest Common Factor of 546,899,949 using Euclid's algorithm

Highest Common Factor of 546,899,949 is 1

Step 1: Since 899 > 546, we apply the division lemma to 899 and 546, to get

899 = 546 x 1 + 353

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 353 and 546, to get

546 = 353 x 1 + 193

Step 3: We consider the new divisor 353 and the new remainder 193, and apply the division lemma to get

353 = 193 x 1 + 160

We consider the new divisor 193 and the new remainder 160,and apply the division lemma to get

193 = 160 x 1 + 33

We consider the new divisor 160 and the new remainder 33,and apply the division lemma to get

160 = 33 x 4 + 28

We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get

33 = 28 x 1 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 546 and 899 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(160,33) = HCF(193,160) = HCF(353,193) = HCF(546,353) = HCF(899,546) .

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

Step 1: Since 949 > 1, we apply the division lemma to 949 and 1, to get

949 = 1 x 949 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 949 is 1

Notice that 1 = HCF(949,1) .

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Frequently Asked Questions on HCF of 546, 899, 949 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 546, 899, 949?

Answer: HCF of 546, 899, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 546, 899, 949 using Euclid's Algorithm?

Answer: For arbitrary numbers 546, 899, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.