Highest Common Factor of 1679, 8874, 90791 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 1679, 8874, 90791 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1679, 8874, 90791 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 1679, 8874, 90791 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 1679, 8874, 90791 is 1.

HCF(1679, 8874, 90791) = 1

HCF of 1679, 8874, 90791 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 1679, 8874, 90791 is 1.

Highest Common Factor of 1679,8874,90791 using Euclid's algorithm

Highest Common Factor of 1679,8874,90791 is 1

Step 1: Since 8874 > 1679, we apply the division lemma to 8874 and 1679, to get

8874 = 1679 x 5 + 479

Step 2: Since the reminder 1679 ≠ 0, we apply division lemma to 479 and 1679, to get

1679 = 479 x 3 + 242

Step 3: We consider the new divisor 479 and the new remainder 242, and apply the division lemma to get

479 = 242 x 1 + 237

We consider the new divisor 242 and the new remainder 237,and apply the division lemma to get

242 = 237 x 1 + 5

We consider the new divisor 237 and the new remainder 5,and apply the division lemma to get

237 = 5 x 47 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1679 and 8874 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(237,5) = HCF(242,237) = HCF(479,242) = HCF(1679,479) = HCF(8874,1679) .

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

Step 1: Since 90791 > 1, we apply the division lemma to 90791 and 1, to get

90791 = 1 x 90791 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90791 is 1

Notice that 1 = HCF(90791,1) .

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Frequently Asked Questions on HCF of 1679, 8874, 90791 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 1679, 8874, 90791?

Answer: HCF of 1679, 8874, 90791 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1679, 8874, 90791 using Euclid's Algorithm?

Answer: For arbitrary numbers 1679, 8874, 90791 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.