Highest Common Factor of 9574, 4335, 41369 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 9574, 4335, 41369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9574, 4335, 41369 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 9574, 4335, 41369 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 9574, 4335, 41369 is 1.

HCF(9574, 4335, 41369) = 1

HCF of 9574, 4335, 41369 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 9574, 4335, 41369 is 1.

Highest Common Factor of 9574,4335,41369 using Euclid's algorithm

Highest Common Factor of 9574,4335,41369 is 1

Step 1: Since 9574 > 4335, we apply the division lemma to 9574 and 4335, to get

9574 = 4335 x 2 + 904

Step 2: Since the reminder 4335 ≠ 0, we apply division lemma to 904 and 4335, to get

4335 = 904 x 4 + 719

Step 3: We consider the new divisor 904 and the new remainder 719, and apply the division lemma to get

904 = 719 x 1 + 185

We consider the new divisor 719 and the new remainder 185,and apply the division lemma to get

719 = 185 x 3 + 164

We consider the new divisor 185 and the new remainder 164,and apply the division lemma to get

185 = 164 x 1 + 21

We consider the new divisor 164 and the new remainder 21,and apply the division lemma to get

164 = 21 x 7 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 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 9574 and 4335 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(164,21) = HCF(185,164) = HCF(719,185) = HCF(904,719) = HCF(4335,904) = HCF(9574,4335) .

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

Step 1: Since 41369 > 1, we apply the division lemma to 41369 and 1, to get

41369 = 1 x 41369 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41369 is 1

Notice that 1 = HCF(41369,1) .

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Frequently Asked Questions on HCF of 9574, 4335, 41369 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 9574, 4335, 41369?

Answer: HCF of 9574, 4335, 41369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9574, 4335, 41369 using Euclid's Algorithm?

Answer: For arbitrary numbers 9574, 4335, 41369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.