Highest Common Factor of 894, 542, 510 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 894, 542, 510 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 894, 542, 510 is 2 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 894, 542, 510 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 894, 542, 510 is 2.

HCF(894, 542, 510) = 2

HCF of 894, 542, 510 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 894, 542, 510 is 2.

Highest Common Factor of 894,542,510 using Euclid's algorithm

Highest Common Factor of 894,542,510 is 2

Step 1: Since 894 > 542, we apply the division lemma to 894 and 542, to get

894 = 542 x 1 + 352

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 352 and 542, to get

542 = 352 x 1 + 190

Step 3: We consider the new divisor 352 and the new remainder 190, and apply the division lemma to get

352 = 190 x 1 + 162

We consider the new divisor 190 and the new remainder 162,and apply the division lemma to get

190 = 162 x 1 + 28

We consider the new divisor 162 and the new remainder 28,and apply the division lemma to get

162 = 28 x 5 + 22

We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get

28 = 22 x 1 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 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 894 and 542 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(162,28) = HCF(190,162) = HCF(352,190) = HCF(542,352) = HCF(894,542) .

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

Step 1: Since 510 > 2, we apply the division lemma to 510 and 2, to get

510 = 2 x 255 + 0

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

Notice that 2 = HCF(510,2) .

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Frequently Asked Questions on HCF of 894, 542, 510 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 894, 542, 510?

Answer: HCF of 894, 542, 510 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 894, 542, 510 using Euclid's Algorithm?

Answer: For arbitrary numbers 894, 542, 510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.