Highest Common Factor of 435, 668, 532 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, 668, 532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 435, 668, 532 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, 668, 532 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, 668, 532 is 1.

HCF(435, 668, 532) = 1

HCF of 435, 668, 532 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, 668, 532 is 1.

Highest Common Factor of 435,668,532 using Euclid's algorithm

Highest Common Factor of 435,668,532 is 1

Step 1: Since 668 > 435, we apply the division lemma to 668 and 435, to get

668 = 435 x 1 + 233

Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 233 and 435, to get

435 = 233 x 1 + 202

Step 3: We consider the new divisor 233 and the new remainder 202, and apply the division lemma to get

233 = 202 x 1 + 31

We consider the new divisor 202 and the new remainder 31,and apply the division lemma to get

202 = 31 x 6 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 435 and 668 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(202,31) = HCF(233,202) = HCF(435,233) = HCF(668,435) .

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

Step 1: Since 532 > 1, we apply the division lemma to 532 and 1, to get

532 = 1 x 532 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 532 is 1

Notice that 1 = HCF(532,1) .

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Frequently Asked Questions on HCF of 435, 668, 532 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, 668, 532?

Answer: HCF of 435, 668, 532 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 435, 668, 532 using Euclid's Algorithm?

Answer: For arbitrary numbers 435, 668, 532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.