Highest Common Factor of 535, 5170, 7689 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 535, 5170, 7689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 535, 5170, 7689 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 535, 5170, 7689 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 535, 5170, 7689 is 1.

HCF(535, 5170, 7689) = 1

HCF of 535, 5170, 7689 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 535, 5170, 7689 is 1.

Highest Common Factor of 535,5170,7689 using Euclid's algorithm

Highest Common Factor of 535,5170,7689 is 1

Step 1: Since 5170 > 535, we apply the division lemma to 5170 and 535, to get

5170 = 535 x 9 + 355

Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 355 and 535, to get

535 = 355 x 1 + 180

Step 3: We consider the new divisor 355 and the new remainder 180, and apply the division lemma to get

355 = 180 x 1 + 175

We consider the new divisor 180 and the new remainder 175,and apply the division lemma to get

180 = 175 x 1 + 5

We consider the new divisor 175 and the new remainder 5,and apply the division lemma to get

175 = 5 x 35 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 535 and 5170 is 5

Notice that 5 = HCF(175,5) = HCF(180,175) = HCF(355,180) = HCF(535,355) = HCF(5170,535) .

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

Step 1: Since 7689 > 5, we apply the division lemma to 7689 and 5, to get

7689 = 5 x 1537 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 7689 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(7689,5) .

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Frequently Asked Questions on HCF of 535, 5170, 7689 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 535, 5170, 7689?

Answer: HCF of 535, 5170, 7689 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 535, 5170, 7689 using Euclid's Algorithm?

Answer: For arbitrary numbers 535, 5170, 7689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.