Highest Common Factor of 679, 488 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 679, 488 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 679, 488 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 679, 488 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 679, 488 is 1.

HCF(679, 488) = 1

HCF of 679, 488 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 679, 488 is 1.

Highest Common Factor of 679,488 using Euclid's algorithm

Highest Common Factor of 679,488 is 1

Step 1: Since 679 > 488, we apply the division lemma to 679 and 488, to get

679 = 488 x 1 + 191

Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 191 and 488, to get

488 = 191 x 2 + 106

Step 3: We consider the new divisor 191 and the new remainder 106, and apply the division lemma to get

191 = 106 x 1 + 85

We consider the new divisor 106 and the new remainder 85,and apply the division lemma to get

106 = 85 x 1 + 21

We consider the new divisor 85 and the new remainder 21,and apply the division lemma to get

85 = 21 x 4 + 1

We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get

21 = 1 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 679 and 488 is 1

Notice that 1 = HCF(21,1) = HCF(85,21) = HCF(106,85) = HCF(191,106) = HCF(488,191) = HCF(679,488) .

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Frequently Asked Questions on HCF of 679, 488 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 679, 488?

Answer: HCF of 679, 488 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 679, 488 using Euclid's Algorithm?

Answer: For arbitrary numbers 679, 488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.