Highest Common Factor of 909, 388 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 909, 388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 909, 388 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 909, 388 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 909, 388 is 1.

HCF(909, 388) = 1

HCF of 909, 388 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 909, 388 is 1.

Highest Common Factor of 909,388 using Euclid's algorithm

Highest Common Factor of 909,388 is 1

Step 1: Since 909 > 388, we apply the division lemma to 909 and 388, to get

909 = 388 x 2 + 133

Step 2: Since the reminder 388 ≠ 0, we apply division lemma to 133 and 388, to get

388 = 133 x 2 + 122

Step 3: We consider the new divisor 133 and the new remainder 122, and apply the division lemma to get

133 = 122 x 1 + 11

We consider the new divisor 122 and the new remainder 11,and apply the division lemma to get

122 = 11 x 11 + 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 909 and 388 is 1

Notice that 1 = HCF(11,1) = HCF(122,11) = HCF(133,122) = HCF(388,133) = HCF(909,388) .

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Frequently Asked Questions on HCF of 909, 388 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 909, 388?

Answer: HCF of 909, 388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 909, 388 using Euclid's Algorithm?

Answer: For arbitrary numbers 909, 388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.