Highest Common Factor of 433, 661, 957 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 433, 661, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 433, 661, 957 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 433, 661, 957 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 433, 661, 957 is 1.

HCF(433, 661, 957) = 1

HCF of 433, 661, 957 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 433, 661, 957 is 1.

Highest Common Factor of 433,661,957 using Euclid's algorithm

Highest Common Factor of 433,661,957 is 1

Step 1: Since 661 > 433, we apply the division lemma to 661 and 433, to get

661 = 433 x 1 + 228

Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 228 and 433, to get

433 = 228 x 1 + 205

Step 3: We consider the new divisor 228 and the new remainder 205, and apply the division lemma to get

228 = 205 x 1 + 23

We consider the new divisor 205 and the new remainder 23,and apply the division lemma to get

205 = 23 x 8 + 21

We consider the new divisor 23 and the new remainder 21,and apply the division lemma to get

23 = 21 x 1 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 433 and 661 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(23,21) = HCF(205,23) = HCF(228,205) = HCF(433,228) = HCF(661,433) .

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

Step 1: Since 957 > 1, we apply the division lemma to 957 and 1, to get

957 = 1 x 957 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 957 is 1

Notice that 1 = HCF(957,1) .

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Frequently Asked Questions on HCF of 433, 661, 957 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 433, 661, 957?

Answer: HCF of 433, 661, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 433, 661, 957 using Euclid's Algorithm?

Answer: For arbitrary numbers 433, 661, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.