Highest Common Factor of 976, 623, 187 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 976, 623, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 976, 623, 187 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 976, 623, 187 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 976, 623, 187 is 1.

HCF(976, 623, 187) = 1

HCF of 976, 623, 187 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 976, 623, 187 is 1.

Highest Common Factor of 976,623,187 using Euclid's algorithm

Highest Common Factor of 976,623,187 is 1

Step 1: Since 976 > 623, we apply the division lemma to 976 and 623, to get

976 = 623 x 1 + 353

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 353 and 623, to get

623 = 353 x 1 + 270

Step 3: We consider the new divisor 353 and the new remainder 270, and apply the division lemma to get

353 = 270 x 1 + 83

We consider the new divisor 270 and the new remainder 83,and apply the division lemma to get

270 = 83 x 3 + 21

We consider the new divisor 83 and the new remainder 21,and apply the division lemma to get

83 = 21 x 3 + 20

We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get

21 = 20 x 1 + 1

We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get

20 = 1 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 623 is 1

Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(83,21) = HCF(270,83) = HCF(353,270) = HCF(623,353) = HCF(976,623) .

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

Step 1: Since 187 > 1, we apply the division lemma to 187 and 1, to get

187 = 1 x 187 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1

Notice that 1 = HCF(187,1) .

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Frequently Asked Questions on HCF of 976, 623, 187 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 976, 623, 187?

Answer: HCF of 976, 623, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 976, 623, 187 using Euclid's Algorithm?

Answer: For arbitrary numbers 976, 623, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.