Highest Common Factor of 503, 830, 411 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 503, 830, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 503, 830, 411 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 503, 830, 411 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 503, 830, 411 is 1.

HCF(503, 830, 411) = 1

HCF of 503, 830, 411 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 503, 830, 411 is 1.

Highest Common Factor of 503,830,411 using Euclid's algorithm

Highest Common Factor of 503,830,411 is 1

Step 1: Since 830 > 503, we apply the division lemma to 830 and 503, to get

830 = 503 x 1 + 327

Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 327 and 503, to get

503 = 327 x 1 + 176

Step 3: We consider the new divisor 327 and the new remainder 176, and apply the division lemma to get

327 = 176 x 1 + 151

We consider the new divisor 176 and the new remainder 151,and apply the division lemma to get

176 = 151 x 1 + 25

We consider the new divisor 151 and the new remainder 25,and apply the division lemma to get

151 = 25 x 6 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 503 and 830 is 1

Notice that 1 = HCF(25,1) = HCF(151,25) = HCF(176,151) = HCF(327,176) = HCF(503,327) = HCF(830,503) .

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

Step 1: Since 411 > 1, we apply the division lemma to 411 and 1, to get

411 = 1 x 411 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 411 is 1

Notice that 1 = HCF(411,1) .

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Frequently Asked Questions on HCF of 503, 830, 411 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 503, 830, 411?

Answer: HCF of 503, 830, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 503, 830, 411 using Euclid's Algorithm?

Answer: For arbitrary numbers 503, 830, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.