Highest Common Factor of 846, 536, 237 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 846, 536, 237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 846, 536, 237 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 846, 536, 237 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 846, 536, 237 is 1.

HCF(846, 536, 237) = 1

HCF of 846, 536, 237 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 846, 536, 237 is 1.

Highest Common Factor of 846,536,237 using Euclid's algorithm

Highest Common Factor of 846,536,237 is 1

Step 1: Since 846 > 536, we apply the division lemma to 846 and 536, to get

846 = 536 x 1 + 310

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 310 and 536, to get

536 = 310 x 1 + 226

Step 3: We consider the new divisor 310 and the new remainder 226, and apply the division lemma to get

310 = 226 x 1 + 84

We consider the new divisor 226 and the new remainder 84,and apply the division lemma to get

226 = 84 x 2 + 58

We consider the new divisor 84 and the new remainder 58,and apply the division lemma to get

84 = 58 x 1 + 26

We consider the new divisor 58 and the new remainder 26,and apply the division lemma to get

58 = 26 x 2 + 6

We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get

26 = 6 x 4 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 846 and 536 is 2

Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(58,26) = HCF(84,58) = HCF(226,84) = HCF(310,226) = HCF(536,310) = HCF(846,536) .

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

Step 1: Since 237 > 2, we apply the division lemma to 237 and 2, to get

237 = 2 x 118 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 237 is 1

Notice that 1 = HCF(2,1) = HCF(237,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 846, 536, 237 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 846, 536, 237?

Answer: HCF of 846, 536, 237 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 846, 536, 237 using Euclid's Algorithm?

Answer: For arbitrary numbers 846, 536, 237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.