Highest Common Factor of 584, 891, 758, 831 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 584, 891, 758, 831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 584, 891, 758, 831 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 584, 891, 758, 831 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 584, 891, 758, 831 is 1.

HCF(584, 891, 758, 831) = 1

HCF of 584, 891, 758, 831 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 584, 891, 758, 831 is 1.

Highest Common Factor of 584,891,758,831 using Euclid's algorithm

Highest Common Factor of 584,891,758,831 is 1

Step 1: Since 891 > 584, we apply the division lemma to 891 and 584, to get

891 = 584 x 1 + 307

Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 307 and 584, to get

584 = 307 x 1 + 277

Step 3: We consider the new divisor 307 and the new remainder 277, and apply the division lemma to get

307 = 277 x 1 + 30

We consider the new divisor 277 and the new remainder 30,and apply the division lemma to get

277 = 30 x 9 + 7

We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get

30 = 7 x 4 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 584 and 891 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(277,30) = HCF(307,277) = HCF(584,307) = HCF(891,584) .

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

Step 1: Since 758 > 1, we apply the division lemma to 758 and 1, to get

758 = 1 x 758 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 758 is 1

Notice that 1 = HCF(758,1) .

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

Step 1: Since 831 > 1, we apply the division lemma to 831 and 1, to get

831 = 1 x 831 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 831 is 1

Notice that 1 = HCF(831,1) .

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Frequently Asked Questions on HCF of 584, 891, 758, 831 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 584, 891, 758, 831?

Answer: HCF of 584, 891, 758, 831 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 584, 891, 758, 831 using Euclid's Algorithm?

Answer: For arbitrary numbers 584, 891, 758, 831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.