Highest Common Factor of 4743, 3762, 48359 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 4743, 3762, 48359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4743, 3762, 48359 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 4743, 3762, 48359 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 4743, 3762, 48359 is 1.

HCF(4743, 3762, 48359) = 1

HCF of 4743, 3762, 48359 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 4743, 3762, 48359 is 1.

Highest Common Factor of 4743,3762,48359 using Euclid's algorithm

Highest Common Factor of 4743,3762,48359 is 1

Step 1: Since 4743 > 3762, we apply the division lemma to 4743 and 3762, to get

4743 = 3762 x 1 + 981

Step 2: Since the reminder 3762 ≠ 0, we apply division lemma to 981 and 3762, to get

3762 = 981 x 3 + 819

Step 3: We consider the new divisor 981 and the new remainder 819, and apply the division lemma to get

981 = 819 x 1 + 162

We consider the new divisor 819 and the new remainder 162,and apply the division lemma to get

819 = 162 x 5 + 9

We consider the new divisor 162 and the new remainder 9,and apply the division lemma to get

162 = 9 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4743 and 3762 is 9

Notice that 9 = HCF(162,9) = HCF(819,162) = HCF(981,819) = HCF(3762,981) = HCF(4743,3762) .

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

Step 1: Since 48359 > 9, we apply the division lemma to 48359 and 9, to get

48359 = 9 x 5373 + 2

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 2 and 9, to get

9 = 2 x 4 + 1

Step 3: 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 9 and 48359 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(48359,9) .

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Frequently Asked Questions on HCF of 4743, 3762, 48359 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 4743, 3762, 48359?

Answer: HCF of 4743, 3762, 48359 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4743, 3762, 48359 using Euclid's Algorithm?

Answer: For arbitrary numbers 4743, 3762, 48359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.