Highest Common Factor of 811, 502, 850 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 811, 502, 850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 811, 502, 850 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 811, 502, 850 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 811, 502, 850 is 1.

HCF(811, 502, 850) = 1

HCF of 811, 502, 850 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 811, 502, 850 is 1.

Highest Common Factor of 811,502,850 using Euclid's algorithm

Highest Common Factor of 811,502,850 is 1

Step 1: Since 811 > 502, we apply the division lemma to 811 and 502, to get

811 = 502 x 1 + 309

Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 309 and 502, to get

502 = 309 x 1 + 193

Step 3: We consider the new divisor 309 and the new remainder 193, and apply the division lemma to get

309 = 193 x 1 + 116

We consider the new divisor 193 and the new remainder 116,and apply the division lemma to get

193 = 116 x 1 + 77

We consider the new divisor 116 and the new remainder 77,and apply the division lemma to get

116 = 77 x 1 + 39

We consider the new divisor 77 and the new remainder 39,and apply the division lemma to get

77 = 39 x 1 + 38

We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get

39 = 38 x 1 + 1

We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get

38 = 1 x 38 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 502 is 1

Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(77,39) = HCF(116,77) = HCF(193,116) = HCF(309,193) = HCF(502,309) = HCF(811,502) .

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

Step 1: Since 850 > 1, we apply the division lemma to 850 and 1, to get

850 = 1 x 850 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 850 is 1

Notice that 1 = HCF(850,1) .

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Frequently Asked Questions on HCF of 811, 502, 850 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 811, 502, 850?

Answer: HCF of 811, 502, 850 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 811, 502, 850 using Euclid's Algorithm?

Answer: For arbitrary numbers 811, 502, 850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.