Highest Common Factor of 488, 807, 179 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 488, 807, 179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 488, 807, 179 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 488, 807, 179 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 488, 807, 179 is 1.

HCF(488, 807, 179) = 1

HCF of 488, 807, 179 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 488, 807, 179 is 1.

Highest Common Factor of 488,807,179 using Euclid's algorithm

Highest Common Factor of 488,807,179 is 1

Step 1: Since 807 > 488, we apply the division lemma to 807 and 488, to get

807 = 488 x 1 + 319

Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 319 and 488, to get

488 = 319 x 1 + 169

Step 3: We consider the new divisor 319 and the new remainder 169, and apply the division lemma to get

319 = 169 x 1 + 150

We consider the new divisor 169 and the new remainder 150,and apply the division lemma to get

169 = 150 x 1 + 19

We consider the new divisor 150 and the new remainder 19,and apply the division lemma to get

150 = 19 x 7 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 488 and 807 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(150,19) = HCF(169,150) = HCF(319,169) = HCF(488,319) = HCF(807,488) .

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

Step 1: Since 179 > 1, we apply the division lemma to 179 and 1, to get

179 = 1 x 179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 179 is 1

Notice that 1 = HCF(179,1) .

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Frequently Asked Questions on HCF of 488, 807, 179 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 488, 807, 179?

Answer: HCF of 488, 807, 179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 488, 807, 179 using Euclid's Algorithm?

Answer: For arbitrary numbers 488, 807, 179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.