Highest Common Factor of 369, 604, 913 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 369, 604, 913 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 369, 604, 913 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 369, 604, 913 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 369, 604, 913 is 1.

HCF(369, 604, 913) = 1

HCF of 369, 604, 913 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 369, 604, 913 is 1.

Highest Common Factor of 369,604,913 using Euclid's algorithm

Highest Common Factor of 369,604,913 is 1

Step 1: Since 604 > 369, we apply the division lemma to 604 and 369, to get

604 = 369 x 1 + 235

Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 235 and 369, to get

369 = 235 x 1 + 134

Step 3: We consider the new divisor 235 and the new remainder 134, and apply the division lemma to get

235 = 134 x 1 + 101

We consider the new divisor 134 and the new remainder 101,and apply the division lemma to get

134 = 101 x 1 + 33

We consider the new divisor 101 and the new remainder 33,and apply the division lemma to get

101 = 33 x 3 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 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 369 and 604 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(101,33) = HCF(134,101) = HCF(235,134) = HCF(369,235) = HCF(604,369) .

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

Step 1: Since 913 > 1, we apply the division lemma to 913 and 1, to get

913 = 1 x 913 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 913 is 1

Notice that 1 = HCF(913,1) .

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Frequently Asked Questions on HCF of 369, 604, 913 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 369, 604, 913?

Answer: HCF of 369, 604, 913 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 369, 604, 913 using Euclid's Algorithm?

Answer: For arbitrary numbers 369, 604, 913 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.