Highest Common Factor of 798, 513, 584 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 798, 513, 584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 798, 513, 584 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 798, 513, 584 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 798, 513, 584 is 1.

HCF(798, 513, 584) = 1

HCF of 798, 513, 584 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 798, 513, 584 is 1.

Highest Common Factor of 798,513,584 using Euclid's algorithm

Highest Common Factor of 798,513,584 is 1

Step 1: Since 798 > 513, we apply the division lemma to 798 and 513, to get

798 = 513 x 1 + 285

Step 2: Since the reminder 513 ≠ 0, we apply division lemma to 285 and 513, to get

513 = 285 x 1 + 228

Step 3: We consider the new divisor 285 and the new remainder 228, and apply the division lemma to get

285 = 228 x 1 + 57

We consider the new divisor 228 and the new remainder 57, and apply the division lemma to get

228 = 57 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 798 and 513 is 57

Notice that 57 = HCF(228,57) = HCF(285,228) = HCF(513,285) = HCF(798,513) .

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

Step 1: Since 584 > 57, we apply the division lemma to 584 and 57, to get

584 = 57 x 10 + 14

Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 14 and 57, to get

57 = 14 x 4 + 1

Step 3: We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 57 and 584 is 1

Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(584,57) .

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Frequently Asked Questions on HCF of 798, 513, 584 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 798, 513, 584?

Answer: HCF of 798, 513, 584 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 798, 513, 584 using Euclid's Algorithm?

Answer: For arbitrary numbers 798, 513, 584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.