Highest Common Factor of 285, 487, 528, 64 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 285, 487, 528, 64 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 285, 487, 528, 64 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 285, 487, 528, 64 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 285, 487, 528, 64 is 1.

HCF(285, 487, 528, 64) = 1

HCF of 285, 487, 528, 64 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 285, 487, 528, 64 is 1.

Highest Common Factor of 285,487,528,64 using Euclid's algorithm

Highest Common Factor of 285,487,528,64 is 1

Step 1: Since 487 > 285, we apply the division lemma to 487 and 285, to get

487 = 285 x 1 + 202

Step 2: Since the reminder 285 ≠ 0, we apply division lemma to 202 and 285, to get

285 = 202 x 1 + 83

Step 3: We consider the new divisor 202 and the new remainder 83, and apply the division lemma to get

202 = 83 x 2 + 36

We consider the new divisor 83 and the new remainder 36,and apply the division lemma to get

83 = 36 x 2 + 11

We consider the new divisor 36 and the new remainder 11,and apply the division lemma to get

36 = 11 x 3 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 2

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

3 = 2 x 1 + 1

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 285 and 487 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(36,11) = HCF(83,36) = HCF(202,83) = HCF(285,202) = HCF(487,285) .

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

Step 1: Since 528 > 1, we apply the division lemma to 528 and 1, to get

528 = 1 x 528 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 528 is 1

Notice that 1 = HCF(528,1) .

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

Step 1: Since 64 > 1, we apply the division lemma to 64 and 1, to get

64 = 1 x 64 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64 is 1

Notice that 1 = HCF(64,1) .

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Frequently Asked Questions on HCF of 285, 487, 528, 64 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 285, 487, 528, 64?

Answer: HCF of 285, 487, 528, 64 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 285, 487, 528, 64 using Euclid's Algorithm?

Answer: For arbitrary numbers 285, 487, 528, 64 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.