Highest Common Factor of 488, 765, 557 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, 765, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 488, 765, 557 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, 765, 557 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, 765, 557 is 1.

HCF(488, 765, 557) = 1

HCF of 488, 765, 557 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, 765, 557 is 1.

Highest Common Factor of 488,765,557 using Euclid's algorithm

Highest Common Factor of 488,765,557 is 1

Step 1: Since 765 > 488, we apply the division lemma to 765 and 488, to get

765 = 488 x 1 + 277

Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 277 and 488, to get

488 = 277 x 1 + 211

Step 3: We consider the new divisor 277 and the new remainder 211, and apply the division lemma to get

277 = 211 x 1 + 66

We consider the new divisor 211 and the new remainder 66,and apply the division lemma to get

211 = 66 x 3 + 13

We consider the new divisor 66 and the new remainder 13,and apply the division lemma to get

66 = 13 x 5 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 488 and 765 is 1

Notice that 1 = HCF(13,1) = HCF(66,13) = HCF(211,66) = HCF(277,211) = HCF(488,277) = HCF(765,488) .

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

Step 1: Since 557 > 1, we apply the division lemma to 557 and 1, to get

557 = 1 x 557 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 557 is 1

Notice that 1 = HCF(557,1) .

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Frequently Asked Questions on HCF of 488, 765, 557 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, 765, 557?

Answer: HCF of 488, 765, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 488, 765, 557 using Euclid's Algorithm?

Answer: For arbitrary numbers 488, 765, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.