Highest Common Factor of 8783, 4078, 75762 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 8783, 4078, 75762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8783, 4078, 75762 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 8783, 4078, 75762 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 8783, 4078, 75762 is 1.

HCF(8783, 4078, 75762) = 1

HCF of 8783, 4078, 75762 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 8783, 4078, 75762 is 1.

Highest Common Factor of 8783,4078,75762 using Euclid's algorithm

Highest Common Factor of 8783,4078,75762 is 1

Step 1: Since 8783 > 4078, we apply the division lemma to 8783 and 4078, to get

8783 = 4078 x 2 + 627

Step 2: Since the reminder 4078 ≠ 0, we apply division lemma to 627 and 4078, to get

4078 = 627 x 6 + 316

Step 3: We consider the new divisor 627 and the new remainder 316, and apply the division lemma to get

627 = 316 x 1 + 311

We consider the new divisor 316 and the new remainder 311,and apply the division lemma to get

316 = 311 x 1 + 5

We consider the new divisor 311 and the new remainder 5,and apply the division lemma to get

311 = 5 x 62 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8783 and 4078 is 1

Notice that 1 = HCF(5,1) = HCF(311,5) = HCF(316,311) = HCF(627,316) = HCF(4078,627) = HCF(8783,4078) .

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

Step 1: Since 75762 > 1, we apply the division lemma to 75762 and 1, to get

75762 = 1 x 75762 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75762 is 1

Notice that 1 = HCF(75762,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8783, 4078, 75762 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 8783, 4078, 75762?

Answer: HCF of 8783, 4078, 75762 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8783, 4078, 75762 using Euclid's Algorithm?

Answer: For arbitrary numbers 8783, 4078, 75762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.