Highest Common Factor of 943, 577 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 943, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 943, 577 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 943, 577 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 943, 577 is 1.

HCF(943, 577) = 1

HCF of 943, 577 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 943, 577 is 1.

Highest Common Factor of 943,577 using Euclid's algorithm

Highest Common Factor of 943,577 is 1

Step 1: Since 943 > 577, we apply the division lemma to 943 and 577, to get

943 = 577 x 1 + 366

Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 366 and 577, to get

577 = 366 x 1 + 211

Step 3: We consider the new divisor 366 and the new remainder 211, and apply the division lemma to get

366 = 211 x 1 + 155

We consider the new divisor 211 and the new remainder 155,and apply the division lemma to get

211 = 155 x 1 + 56

We consider the new divisor 155 and the new remainder 56,and apply the division lemma to get

155 = 56 x 2 + 43

We consider the new divisor 56 and the new remainder 43,and apply the division lemma to get

56 = 43 x 1 + 13

We consider the new divisor 43 and the new remainder 13,and apply the division lemma to get

43 = 13 x 3 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 577 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(43,13) = HCF(56,43) = HCF(155,56) = HCF(211,155) = HCF(366,211) = HCF(577,366) = HCF(943,577) .

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Frequently Asked Questions on HCF of 943, 577 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 943, 577?

Answer: HCF of 943, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 943, 577 using Euclid's Algorithm?

Answer: For arbitrary numbers 943, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.