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Highest Common Factor of 675, 459, 99 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 675, 459, 99 i.e. 9 the largest integer that leaves a remainder zero for all numbers.

HCF of 675, 459, 99 is 9 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 675, 459, 99 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 675, 459, 99 is 9.

HCF(675, 459, 99) = 9

HCF of 675, 459, 99 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 675, 459, 99 is 9.

Highest Common Factor of 675,459,99 using Euclid's algorithm

Step 1: Since 675 > 459, we apply the division lemma to 675 and 459, to get

675 = 459 x 1 + 216

Step 2: Since the reminder 459 ≠ 0, we apply division lemma to 216 and 459, to get

459 = 216 x 2 + 27

Step 3: We consider the new divisor 216 and the new remainder 27, and apply the division lemma to get

216 = 27 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 27, the HCF of 675 and 459 is 27

Notice that 27 = HCF(216,27) = HCF(459,216) = HCF(675,459) .


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

Step 1: Since 99 > 27, we apply the division lemma to 99 and 27, to get

99 = 27 x 3 + 18

Step 2: Since the reminder 27 ≠ 0, we apply division lemma to 18 and 27, to get

27 = 18 x 1 + 9

Step 3: We consider the new divisor 18 and the new remainder 9, and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 27 and 99 is 9

Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(99,27) .

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Frequently Asked Questions on HCF of 675, 459, 99 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 675, 459, 99?

Answer: HCF of 675, 459, 99 is 9 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 675, 459, 99 using Euclid's Algorithm?

Answer: For arbitrary numbers 675, 459, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.