Highest Common Factor of 4079, 8768, 42830 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 4079, 8768, 42830 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4079, 8768, 42830 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 4079, 8768, 42830 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 4079, 8768, 42830 is 1.

HCF(4079, 8768, 42830) = 1

HCF of 4079, 8768, 42830 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 4079, 8768, 42830 is 1.

Highest Common Factor of 4079,8768,42830 using Euclid's algorithm

Highest Common Factor of 4079,8768,42830 is 1

Step 1: Since 8768 > 4079, we apply the division lemma to 8768 and 4079, to get

8768 = 4079 x 2 + 610

Step 2: Since the reminder 4079 ≠ 0, we apply division lemma to 610 and 4079, to get

4079 = 610 x 6 + 419

Step 3: We consider the new divisor 610 and the new remainder 419, and apply the division lemma to get

610 = 419 x 1 + 191

We consider the new divisor 419 and the new remainder 191,and apply the division lemma to get

419 = 191 x 2 + 37

We consider the new divisor 191 and the new remainder 37,and apply the division lemma to get

191 = 37 x 5 + 6

We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get

37 = 6 x 6 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4079 and 8768 is 1

Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(191,37) = HCF(419,191) = HCF(610,419) = HCF(4079,610) = HCF(8768,4079) .

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

Step 1: Since 42830 > 1, we apply the division lemma to 42830 and 1, to get

42830 = 1 x 42830 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42830 is 1

Notice that 1 = HCF(42830,1) .

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Frequently Asked Questions on HCF of 4079, 8768, 42830 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 4079, 8768, 42830?

Answer: HCF of 4079, 8768, 42830 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4079, 8768, 42830 using Euclid's Algorithm?

Answer: For arbitrary numbers 4079, 8768, 42830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.