Highest Common Factor of 268, 469, 946 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 268, 469, 946 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 268, 469, 946 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 268, 469, 946 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 268, 469, 946 is 1.

HCF(268, 469, 946) = 1

HCF of 268, 469, 946 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 268, 469, 946 is 1.

Highest Common Factor of 268,469,946 using Euclid's algorithm

Highest Common Factor of 268,469,946 is 1

Step 1: Since 469 > 268, we apply the division lemma to 469 and 268, to get

469 = 268 x 1 + 201

Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 201 and 268, to get

268 = 201 x 1 + 67

Step 3: We consider the new divisor 201 and the new remainder 67, and apply the division lemma to get

201 = 67 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 268 and 469 is 67

Notice that 67 = HCF(201,67) = HCF(268,201) = HCF(469,268) .

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

Step 1: Since 946 > 67, we apply the division lemma to 946 and 67, to get

946 = 67 x 14 + 8

Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 8 and 67, to get

67 = 8 x 8 + 3

Step 3: We consider the new divisor 8 and the new remainder 3, and apply the division lemma to get

8 = 3 x 2 + 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 67 and 946 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(67,8) = HCF(946,67) .

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Frequently Asked Questions on HCF of 268, 469, 946 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 268, 469, 946?

Answer: HCF of 268, 469, 946 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 268, 469, 946 using Euclid's Algorithm?

Answer: For arbitrary numbers 268, 469, 946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.