Highest Common Factor of 839, 470, 28 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 839, 470, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 839, 470, 28 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 839, 470, 28 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 839, 470, 28 is 1.

HCF(839, 470, 28) = 1

HCF of 839, 470, 28 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 839, 470, 28 is 1.

Highest Common Factor of 839,470,28 using Euclid's algorithm

Highest Common Factor of 839,470,28 is 1

Step 1: Since 839 > 470, we apply the division lemma to 839 and 470, to get

839 = 470 x 1 + 369

Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 369 and 470, to get

470 = 369 x 1 + 101

Step 3: We consider the new divisor 369 and the new remainder 101, and apply the division lemma to get

369 = 101 x 3 + 66

We consider the new divisor 101 and the new remainder 66,and apply the division lemma to get

101 = 66 x 1 + 35

We consider the new divisor 66 and the new remainder 35,and apply the division lemma to get

66 = 35 x 1 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 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 839 and 470 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(66,35) = HCF(101,66) = HCF(369,101) = HCF(470,369) = HCF(839,470) .

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

Step 1: Since 28 > 1, we apply the division lemma to 28 and 1, to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 28 is 1

Notice that 1 = HCF(28,1) .

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Frequently Asked Questions on HCF of 839, 470, 28 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 839, 470, 28?

Answer: HCF of 839, 470, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 839, 470, 28 using Euclid's Algorithm?

Answer: For arbitrary numbers 839, 470, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.