Highest Common Factor of 387, 977, 546 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 387, 977, 546 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 387, 977, 546 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 387, 977, 546 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 387, 977, 546 is 1.

HCF(387, 977, 546) = 1

HCF of 387, 977, 546 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 387, 977, 546 is 1.

Highest Common Factor of 387,977,546 using Euclid's algorithm

Highest Common Factor of 387,977,546 is 1

Step 1: Since 977 > 387, we apply the division lemma to 977 and 387, to get

977 = 387 x 2 + 203

Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 203 and 387, to get

387 = 203 x 1 + 184

Step 3: We consider the new divisor 203 and the new remainder 184, and apply the division lemma to get

203 = 184 x 1 + 19

We consider the new divisor 184 and the new remainder 19,and apply the division lemma to get

184 = 19 x 9 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 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 387 and 977 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(184,19) = HCF(203,184) = HCF(387,203) = HCF(977,387) .

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

Step 1: Since 546 > 1, we apply the division lemma to 546 and 1, to get

546 = 1 x 546 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 546 is 1

Notice that 1 = HCF(546,1) .

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Frequently Asked Questions on HCF of 387, 977, 546 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 387, 977, 546?

Answer: HCF of 387, 977, 546 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 387, 977, 546 using Euclid's Algorithm?

Answer: For arbitrary numbers 387, 977, 546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.