Highest Common Factor of 899, 693, 840, 279 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 899, 693, 840, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 899, 693, 840, 279 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 899, 693, 840, 279 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 899, 693, 840, 279 is 1.

HCF(899, 693, 840, 279) = 1

HCF of 899, 693, 840, 279 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 899, 693, 840, 279 is 1.

Highest Common Factor of 899,693,840,279 using Euclid's algorithm

Highest Common Factor of 899,693,840,279 is 1

Step 1: Since 899 > 693, we apply the division lemma to 899 and 693, to get

899 = 693 x 1 + 206

Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 206 and 693, to get

693 = 206 x 3 + 75

Step 3: We consider the new divisor 206 and the new remainder 75, and apply the division lemma to get

206 = 75 x 2 + 56

We consider the new divisor 75 and the new remainder 56,and apply the division lemma to get

75 = 56 x 1 + 19

We consider the new divisor 56 and the new remainder 19,and apply the division lemma to get

56 = 19 x 2 + 18

We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get

19 = 18 x 1 + 1

We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get

18 = 1 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 899 and 693 is 1

Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(56,19) = HCF(75,56) = HCF(206,75) = HCF(693,206) = HCF(899,693) .

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

Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get

840 = 1 x 840 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1

Notice that 1 = HCF(840,1) .

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

Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get

279 = 1 x 279 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1

Notice that 1 = HCF(279,1) .

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Frequently Asked Questions on HCF of 899, 693, 840, 279 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 899, 693, 840, 279?

Answer: HCF of 899, 693, 840, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 899, 693, 840, 279 using Euclid's Algorithm?

Answer: For arbitrary numbers 899, 693, 840, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.