Highest Common Factor of 857, 493, 544, 887 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 857, 493, 544, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 857, 493, 544, 887 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 857, 493, 544, 887 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 857, 493, 544, 887 is 1.

HCF(857, 493, 544, 887) = 1

HCF of 857, 493, 544, 887 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 857, 493, 544, 887 is 1.

Highest Common Factor of 857,493,544,887 using Euclid's algorithm

Highest Common Factor of 857,493,544,887 is 1

Step 1: Since 857 > 493, we apply the division lemma to 857 and 493, to get

857 = 493 x 1 + 364

Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 364 and 493, to get

493 = 364 x 1 + 129

Step 3: We consider the new divisor 364 and the new remainder 129, and apply the division lemma to get

364 = 129 x 2 + 106

We consider the new divisor 129 and the new remainder 106,and apply the division lemma to get

129 = 106 x 1 + 23

We consider the new divisor 106 and the new remainder 23,and apply the division lemma to get

106 = 23 x 4 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 857 and 493 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(106,23) = HCF(129,106) = HCF(364,129) = HCF(493,364) = HCF(857,493) .

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

Step 1: Since 544 > 1, we apply the division lemma to 544 and 1, to get

544 = 1 x 544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 544 is 1

Notice that 1 = HCF(544,1) .

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

Step 1: Since 887 > 1, we apply the division lemma to 887 and 1, to get

887 = 1 x 887 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 887 is 1

Notice that 1 = HCF(887,1) .

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Frequently Asked Questions on HCF of 857, 493, 544, 887 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 857, 493, 544, 887?

Answer: HCF of 857, 493, 544, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 857, 493, 544, 887 using Euclid's Algorithm?

Answer: For arbitrary numbers 857, 493, 544, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.