Highest Common Factor of 363, 937 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 363, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 363, 937 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 363, 937 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 363, 937 is 1.

HCF(363, 937) = 1

HCF of 363, 937 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 363, 937 is 1.

Highest Common Factor of 363,937 using Euclid's algorithm

Highest Common Factor of 363,937 is 1

Step 1: Since 937 > 363, we apply the division lemma to 937 and 363, to get

937 = 363 x 2 + 211

Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 211 and 363, to get

363 = 211 x 1 + 152

Step 3: We consider the new divisor 211 and the new remainder 152, and apply the division lemma to get

211 = 152 x 1 + 59

We consider the new divisor 152 and the new remainder 59,and apply the division lemma to get

152 = 59 x 2 + 34

We consider the new divisor 59 and the new remainder 34,and apply the division lemma to get

59 = 34 x 1 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 363 and 937 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(59,34) = HCF(152,59) = HCF(211,152) = HCF(363,211) = HCF(937,363) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 363, 937 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 363, 937?

Answer: HCF of 363, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 363, 937 using Euclid's Algorithm?

Answer: For arbitrary numbers 363, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.