Highest Common Factor of 500, 790, 540 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 500, 790, 540 i.e. 10 the largest integer that leaves a remainder zero for all numbers.

HCF of 500, 790, 540 is 10 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 500, 790, 540 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 500, 790, 540 is 10.

HCF(500, 790, 540) = 10

HCF of 500, 790, 540 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 500, 790, 540 is 10.

Highest Common Factor of 500,790,540 using Euclid's algorithm

Highest Common Factor of 500,790,540 is 10

Step 1: Since 790 > 500, we apply the division lemma to 790 and 500, to get

790 = 500 x 1 + 290

Step 2: Since the reminder 500 ≠ 0, we apply division lemma to 290 and 500, to get

500 = 290 x 1 + 210

Step 3: We consider the new divisor 290 and the new remainder 210, and apply the division lemma to get

290 = 210 x 1 + 80

We consider the new divisor 210 and the new remainder 80,and apply the division lemma to get

210 = 80 x 2 + 50

We consider the new divisor 80 and the new remainder 50,and apply the division lemma to get

80 = 50 x 1 + 30

We consider the new divisor 50 and the new remainder 30,and apply the division lemma to get

50 = 30 x 1 + 20

We consider the new divisor 30 and the new remainder 20,and apply the division lemma to get

30 = 20 x 1 + 10

We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get

20 = 10 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 500 and 790 is 10

Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(50,30) = HCF(80,50) = HCF(210,80) = HCF(290,210) = HCF(500,290) = HCF(790,500) .

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

Step 1: Since 540 > 10, we apply the division lemma to 540 and 10, to get

540 = 10 x 54 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 540 is 10

Notice that 10 = HCF(540,10) .

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Frequently Asked Questions on HCF of 500, 790, 540 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 500, 790, 540?

Answer: HCF of 500, 790, 540 is 10 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 500, 790, 540 using Euclid's Algorithm?

Answer: For arbitrary numbers 500, 790, 540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.