Highest Common Factor of 3783, 8798, 60762 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 3783, 8798, 60762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3783, 8798, 60762 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 3783, 8798, 60762 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 3783, 8798, 60762 is 1.

HCF(3783, 8798, 60762) = 1

HCF of 3783, 8798, 60762 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 3783, 8798, 60762 is 1.

Highest Common Factor of 3783,8798,60762 using Euclid's algorithm

Highest Common Factor of 3783,8798,60762 is 1

Step 1: Since 8798 > 3783, we apply the division lemma to 8798 and 3783, to get

8798 = 3783 x 2 + 1232

Step 2: Since the reminder 3783 ≠ 0, we apply division lemma to 1232 and 3783, to get

3783 = 1232 x 3 + 87

Step 3: We consider the new divisor 1232 and the new remainder 87, and apply the division lemma to get

1232 = 87 x 14 + 14

We consider the new divisor 87 and the new remainder 14,and apply the division lemma to get

87 = 14 x 6 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 3783 and 8798 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(87,14) = HCF(1232,87) = HCF(3783,1232) = HCF(8798,3783) .

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

Step 1: Since 60762 > 1, we apply the division lemma to 60762 and 1, to get

60762 = 1 x 60762 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60762 is 1

Notice that 1 = HCF(60762,1) .

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Frequently Asked Questions on HCF of 3783, 8798, 60762 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 3783, 8798, 60762?

Answer: HCF of 3783, 8798, 60762 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3783, 8798, 60762 using Euclid's Algorithm?

Answer: For arbitrary numbers 3783, 8798, 60762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.