Highest Common Factor of 735, 943, 65, 633 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 735, 943, 65, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 735, 943, 65, 633 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 735, 943, 65, 633 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 735, 943, 65, 633 is 1.

HCF(735, 943, 65, 633) = 1

HCF of 735, 943, 65, 633 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 735, 943, 65, 633 is 1.

Highest Common Factor of 735,943,65,633 using Euclid's algorithm

Highest Common Factor of 735,943,65,633 is 1

Step 1: Since 943 > 735, we apply the division lemma to 943 and 735, to get

943 = 735 x 1 + 208

Step 2: Since the reminder 735 ≠ 0, we apply division lemma to 208 and 735, to get

735 = 208 x 3 + 111

Step 3: We consider the new divisor 208 and the new remainder 111, and apply the division lemma to get

208 = 111 x 1 + 97

We consider the new divisor 111 and the new remainder 97,and apply the division lemma to get

111 = 97 x 1 + 14

We consider the new divisor 97 and the new remainder 14,and apply the division lemma to get

97 = 14 x 6 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 735 and 943 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(97,14) = HCF(111,97) = HCF(208,111) = HCF(735,208) = HCF(943,735) .

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

Step 1: Since 65 > 1, we apply the division lemma to 65 and 1, to get

65 = 1 x 65 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65 is 1

Notice that 1 = HCF(65,1) .

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

Step 1: Since 633 > 1, we apply the division lemma to 633 and 1, to get

633 = 1 x 633 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 633 is 1

Notice that 1 = HCF(633,1) .

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Frequently Asked Questions on HCF of 735, 943, 65, 633 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 735, 943, 65, 633?

Answer: HCF of 735, 943, 65, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 735, 943, 65, 633 using Euclid's Algorithm?

Answer: For arbitrary numbers 735, 943, 65, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.