Highest Common Factor of 9157, 6574, 75017 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 9157, 6574, 75017 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9157, 6574, 75017 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 9157, 6574, 75017 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 9157, 6574, 75017 is 1.

HCF(9157, 6574, 75017) = 1

HCF of 9157, 6574, 75017 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 9157, 6574, 75017 is 1.

Highest Common Factor of 9157,6574,75017 using Euclid's algorithm

Highest Common Factor of 9157,6574,75017 is 1

Step 1: Since 9157 > 6574, we apply the division lemma to 9157 and 6574, to get

9157 = 6574 x 1 + 2583

Step 2: Since the reminder 6574 ≠ 0, we apply division lemma to 2583 and 6574, to get

6574 = 2583 x 2 + 1408

Step 3: We consider the new divisor 2583 and the new remainder 1408, and apply the division lemma to get

2583 = 1408 x 1 + 1175

We consider the new divisor 1408 and the new remainder 1175,and apply the division lemma to get

1408 = 1175 x 1 + 233

We consider the new divisor 1175 and the new remainder 233,and apply the division lemma to get

1175 = 233 x 5 + 10

We consider the new divisor 233 and the new remainder 10,and apply the division lemma to get

233 = 10 x 23 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9157 and 6574 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(233,10) = HCF(1175,233) = HCF(1408,1175) = HCF(2583,1408) = HCF(6574,2583) = HCF(9157,6574) .

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

Step 1: Since 75017 > 1, we apply the division lemma to 75017 and 1, to get

75017 = 1 x 75017 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75017 is 1

Notice that 1 = HCF(75017,1) .

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Frequently Asked Questions on HCF of 9157, 6574, 75017 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 9157, 6574, 75017?

Answer: HCF of 9157, 6574, 75017 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9157, 6574, 75017 using Euclid's Algorithm?

Answer: For arbitrary numbers 9157, 6574, 75017 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.