Highest Common Factor of 443, 730, 945 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 443, 730, 945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 443, 730, 945 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 443, 730, 945 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 443, 730, 945 is 1.

HCF(443, 730, 945) = 1

HCF of 443, 730, 945 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 443, 730, 945 is 1.

Highest Common Factor of 443,730,945 using Euclid's algorithm

Highest Common Factor of 443,730,945 is 1

Step 1: Since 730 > 443, we apply the division lemma to 730 and 443, to get

730 = 443 x 1 + 287

Step 2: Since the reminder 443 ≠ 0, we apply division lemma to 287 and 443, to get

443 = 287 x 1 + 156

Step 3: We consider the new divisor 287 and the new remainder 156, and apply the division lemma to get

287 = 156 x 1 + 131

We consider the new divisor 156 and the new remainder 131,and apply the division lemma to get

156 = 131 x 1 + 25

We consider the new divisor 131 and the new remainder 25,and apply the division lemma to get

131 = 25 x 5 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 443 and 730 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(131,25) = HCF(156,131) = HCF(287,156) = HCF(443,287) = HCF(730,443) .

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

Step 1: Since 945 > 1, we apply the division lemma to 945 and 1, to get

945 = 1 x 945 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 945 is 1

Notice that 1 = HCF(945,1) .

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Frequently Asked Questions on HCF of 443, 730, 945 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 443, 730, 945?

Answer: HCF of 443, 730, 945 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 443, 730, 945 using Euclid's Algorithm?

Answer: For arbitrary numbers 443, 730, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.