Highest Common Factor of 435, 564, 281 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, 564, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 435, 564, 281 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, 564, 281 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, 564, 281 is 1.

HCF(435, 564, 281) = 1

HCF of 435, 564, 281 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, 564, 281 is 1.

Highest Common Factor of 435,564,281 using Euclid's algorithm

Highest Common Factor of 435,564,281 is 1

Step 1: Since 564 > 435, we apply the division lemma to 564 and 435, to get

564 = 435 x 1 + 129

Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 129 and 435, to get

435 = 129 x 3 + 48

Step 3: We consider the new divisor 129 and the new remainder 48, and apply the division lemma to get

129 = 48 x 2 + 33

We consider the new divisor 48 and the new remainder 33,and apply the division lemma to get

48 = 33 x 1 + 15

We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get

33 = 15 x 2 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 435 and 564 is 3

Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(48,33) = HCF(129,48) = HCF(435,129) = HCF(564,435) .

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

Step 1: Since 281 > 3, we apply the division lemma to 281 and 3, to get

281 = 3 x 93 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 281 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(281,3) .

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Frequently Asked Questions on HCF of 435, 564, 281 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, 564, 281?

Answer: HCF of 435, 564, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 435, 564, 281 using Euclid's Algorithm?

Answer: For arbitrary numbers 435, 564, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.