Highest Common Factor of 355, 836, 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 355, 836, 28 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 355, 836, 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 355, 836, 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 355, 836, 28 is 1.

HCF(355, 836, 28) = 1

HCF of 355, 836, 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 355, 836, 28 is 1.

Highest Common Factor of 355,836,28 using Euclid's algorithm

Highest Common Factor of 355,836,28 is 1

Step 1: Since 836 > 355, we apply the division lemma to 836 and 355, to get

836 = 355 x 2 + 126

Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 126 and 355, to get

355 = 126 x 2 + 103

Step 3: We consider the new divisor 126 and the new remainder 103, and apply the division lemma to get

126 = 103 x 1 + 23

We consider the new divisor 103 and the new remainder 23,and apply the division lemma to get

103 = 23 x 4 + 11

We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get

23 = 11 x 2 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 355 and 836 is 1

Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(103,23) = HCF(126,103) = HCF(355,126) = HCF(836,355) .

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 355, 836, 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 355, 836, 28?

Answer: HCF of 355, 836, 28 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 355, 836, 28 using Euclid's Algorithm?

Answer: For arbitrary numbers 355, 836, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.