Highest Common Factor of 358, 937, 361 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 358, 937, 361 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 358, 937, 361 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 358, 937, 361 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 358, 937, 361 is 1.

HCF(358, 937, 361) = 1

HCF of 358, 937, 361 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 358, 937, 361 is 1.

Highest Common Factor of 358,937,361 using Euclid's algorithm

Highest Common Factor of 358,937,361 is 1

Step 1: Since 937 > 358, we apply the division lemma to 937 and 358, to get

937 = 358 x 2 + 221

Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 221 and 358, to get

358 = 221 x 1 + 137

Step 3: We consider the new divisor 221 and the new remainder 137, and apply the division lemma to get

221 = 137 x 1 + 84

We consider the new divisor 137 and the new remainder 84,and apply the division lemma to get

137 = 84 x 1 + 53

We consider the new divisor 84 and the new remainder 53,and apply the division lemma to get

84 = 53 x 1 + 31

We consider the new divisor 53 and the new remainder 31,and apply the division lemma to get

53 = 31 x 1 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 358 and 937 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(53,31) = HCF(84,53) = HCF(137,84) = HCF(221,137) = HCF(358,221) = HCF(937,358) .

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

Step 1: Since 361 > 1, we apply the division lemma to 361 and 1, to get

361 = 1 x 361 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 361 is 1

Notice that 1 = HCF(361,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 358, 937, 361 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 358, 937, 361?

Answer: HCF of 358, 937, 361 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 358, 937, 361 using Euclid's Algorithm?

Answer: For arbitrary numbers 358, 937, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.