Highest Common Factor of 510, 794, 874, 15 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 510, 794, 874, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 510, 794, 874, 15 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 510, 794, 874, 15 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 510, 794, 874, 15 is 1.

HCF(510, 794, 874, 15) = 1

HCF of 510, 794, 874, 15 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 510, 794, 874, 15 is 1.

Highest Common Factor of 510,794,874,15 using Euclid's algorithm

Highest Common Factor of 510,794,874,15 is 1

Step 1: Since 794 > 510, we apply the division lemma to 794 and 510, to get

794 = 510 x 1 + 284

Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 284 and 510, to get

510 = 284 x 1 + 226

Step 3: We consider the new divisor 284 and the new remainder 226, and apply the division lemma to get

284 = 226 x 1 + 58

We consider the new divisor 226 and the new remainder 58,and apply the division lemma to get

226 = 58 x 3 + 52

We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get

58 = 52 x 1 + 6

We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get

52 = 6 x 8 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 510 and 794 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(226,58) = HCF(284,226) = HCF(510,284) = HCF(794,510) .

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

Step 1: Since 874 > 2, we apply the division lemma to 874 and 2, to get

874 = 2 x 437 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 874 is 2

Notice that 2 = HCF(874,2) .

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

Step 1: Since 15 > 2, we apply the division lemma to 15 and 2, to get

15 = 2 x 7 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 15 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) .

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Frequently Asked Questions on HCF of 510, 794, 874, 15 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 510, 794, 874, 15?

Answer: HCF of 510, 794, 874, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 510, 794, 874, 15 using Euclid's Algorithm?

Answer: For arbitrary numbers 510, 794, 874, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.