Highest Common Factor of 435, 692, 531 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 435, 692, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 435, 692, 531 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 435, 692, 531 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 435, 692, 531 is 1.

HCF(435, 692, 531) = 1

HCF of 435, 692, 531 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 435, 692, 531 is 1.

Highest Common Factor of 435,692,531 using Euclid's algorithm

Highest Common Factor of 435,692,531 is 1

Step 1: Since 692 > 435, we apply the division lemma to 692 and 435, to get

692 = 435 x 1 + 257

Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 257 and 435, to get

435 = 257 x 1 + 178

Step 3: We consider the new divisor 257 and the new remainder 178, and apply the division lemma to get

257 = 178 x 1 + 79

We consider the new divisor 178 and the new remainder 79,and apply the division lemma to get

178 = 79 x 2 + 20

We consider the new divisor 79 and the new remainder 20,and apply the division lemma to get

79 = 20 x 3 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 435 and 692 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(79,20) = HCF(178,79) = HCF(257,178) = HCF(435,257) = HCF(692,435) .

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

Step 1: Since 531 > 1, we apply the division lemma to 531 and 1, to get

531 = 1 x 531 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 531 is 1

Notice that 1 = HCF(531,1) .

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Frequently Asked Questions on HCF of 435, 692, 531 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 435, 692, 531?

Answer: HCF of 435, 692, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 435, 692, 531 using Euclid's Algorithm?

Answer: For arbitrary numbers 435, 692, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.