Highest Common Factor of 857, 338, 687, 439 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, 338, 687, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 857, 338, 687, 439 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, 338, 687, 439 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, 338, 687, 439 is 1.

HCF(857, 338, 687, 439) = 1

HCF of 857, 338, 687, 439 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, 338, 687, 439 is 1.

Highest Common Factor of 857,338,687,439 using Euclid's algorithm

Highest Common Factor of 857,338,687,439 is 1

Step 1: Since 857 > 338, we apply the division lemma to 857 and 338, to get

857 = 338 x 2 + 181

Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 181 and 338, to get

338 = 181 x 1 + 157

Step 3: We consider the new divisor 181 and the new remainder 157, and apply the division lemma to get

181 = 157 x 1 + 24

We consider the new divisor 157 and the new remainder 24,and apply the division lemma to get

157 = 24 x 6 + 13

We consider the new divisor 24 and the new remainder 13,and apply the division lemma to get

24 = 13 x 1 + 11

We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get

13 = 11 x 1 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 857 and 338 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(24,13) = HCF(157,24) = HCF(181,157) = HCF(338,181) = HCF(857,338) .

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

Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get

687 = 1 x 687 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1

Notice that 1 = HCF(687,1) .

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

Step 1: Since 439 > 1, we apply the division lemma to 439 and 1, to get

439 = 1 x 439 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 439 is 1

Notice that 1 = HCF(439,1) .

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Frequently Asked Questions on HCF of 857, 338, 687, 439 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, 338, 687, 439?

Answer: HCF of 857, 338, 687, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 857, 338, 687, 439 using Euclid's Algorithm?

Answer: For arbitrary numbers 857, 338, 687, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.