Highest Common Factor of 380, 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 380, 361 i.e. 19 the largest integer that leaves a remainder zero for all numbers.

HCF of 380, 361 is 19 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 380, 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 380, 361 is 19.

HCF(380, 361) = 19

HCF of 380, 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 380, 361 is 19.

Highest Common Factor of 380,361 using Euclid's algorithm

Highest Common Factor of 380,361 is 19

Step 1: Since 380 > 361, we apply the division lemma to 380 and 361, to get

380 = 361 x 1 + 19

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 19 and 361, to get

361 = 19 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 380 and 361 is 19

Notice that 19 = HCF(361,19) = HCF(380,361) .

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Frequently Asked Questions on HCF of 380, 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 380, 361?

Answer: HCF of 380, 361 is 19 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 380, 361 using Euclid's Algorithm?

Answer: For arbitrary numbers 380, 361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.