Highest Common Factor of 867, 554, 376 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 867, 554, 376 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 867, 554, 376 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 867, 554, 376 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 867, 554, 376 is 1.

HCF(867, 554, 376) = 1

HCF of 867, 554, 376 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 867, 554, 376 is 1.

Highest Common Factor of 867,554,376 using Euclid's algorithm

Highest Common Factor of 867,554,376 is 1

Step 1: Since 867 > 554, we apply the division lemma to 867 and 554, to get

867 = 554 x 1 + 313

Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 313 and 554, to get

554 = 313 x 1 + 241

Step 3: We consider the new divisor 313 and the new remainder 241, and apply the division lemma to get

313 = 241 x 1 + 72

We consider the new divisor 241 and the new remainder 72,and apply the division lemma to get

241 = 72 x 3 + 25

We consider the new divisor 72 and the new remainder 25,and apply the division lemma to get

72 = 25 x 2 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 867 and 554 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(72,25) = HCF(241,72) = HCF(313,241) = HCF(554,313) = HCF(867,554) .

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

Step 1: Since 376 > 1, we apply the division lemma to 376 and 1, to get

376 = 1 x 376 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 376 is 1

Notice that 1 = HCF(376,1) .

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Frequently Asked Questions on HCF of 867, 554, 376 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 867, 554, 376?

Answer: HCF of 867, 554, 376 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 867, 554, 376 using Euclid's Algorithm?

Answer: For arbitrary numbers 867, 554, 376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.