Highest Common Factor of 1435, 4698, 32544 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 1435, 4698, 32544 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1435, 4698, 32544 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 1435, 4698, 32544 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 1435, 4698, 32544 is 1.

HCF(1435, 4698, 32544) = 1

HCF of 1435, 4698, 32544 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 1435, 4698, 32544 is 1.

Highest Common Factor of 1435,4698,32544 using Euclid's algorithm

Highest Common Factor of 1435,4698,32544 is 1

Step 1: Since 4698 > 1435, we apply the division lemma to 4698 and 1435, to get

4698 = 1435 x 3 + 393

Step 2: Since the reminder 1435 ≠ 0, we apply division lemma to 393 and 1435, to get

1435 = 393 x 3 + 256

Step 3: We consider the new divisor 393 and the new remainder 256, and apply the division lemma to get

393 = 256 x 1 + 137

We consider the new divisor 256 and the new remainder 137,and apply the division lemma to get

256 = 137 x 1 + 119

We consider the new divisor 137 and the new remainder 119,and apply the division lemma to get

137 = 119 x 1 + 18

We consider the new divisor 119 and the new remainder 18,and apply the division lemma to get

119 = 18 x 6 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1435 and 4698 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(119,18) = HCF(137,119) = HCF(256,137) = HCF(393,256) = HCF(1435,393) = HCF(4698,1435) .

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

Step 1: Since 32544 > 1, we apply the division lemma to 32544 and 1, to get

32544 = 1 x 32544 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32544 is 1

Notice that 1 = HCF(32544,1) .

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Frequently Asked Questions on HCF of 1435, 4698, 32544 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 1435, 4698, 32544?

Answer: HCF of 1435, 4698, 32544 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1435, 4698, 32544 using Euclid's Algorithm?

Answer: For arbitrary numbers 1435, 4698, 32544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.