Highest Common Factor of 502, 809, 871 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 502, 809, 871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 502, 809, 871 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 502, 809, 871 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 502, 809, 871 is 1.

HCF(502, 809, 871) = 1

HCF of 502, 809, 871 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 502, 809, 871 is 1.

Highest Common Factor of 502,809,871 using Euclid's algorithm

Highest Common Factor of 502,809,871 is 1

Step 1: Since 809 > 502, we apply the division lemma to 809 and 502, to get

809 = 502 x 1 + 307

Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 307 and 502, to get

502 = 307 x 1 + 195

Step 3: We consider the new divisor 307 and the new remainder 195, and apply the division lemma to get

307 = 195 x 1 + 112

We consider the new divisor 195 and the new remainder 112,and apply the division lemma to get

195 = 112 x 1 + 83

We consider the new divisor 112 and the new remainder 83,and apply the division lemma to get

112 = 83 x 1 + 29

We consider the new divisor 83 and the new remainder 29,and apply the division lemma to get

83 = 29 x 2 + 25

We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get

29 = 25 x 1 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 502 and 809 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(83,29) = HCF(112,83) = HCF(195,112) = HCF(307,195) = HCF(502,307) = HCF(809,502) .

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

Step 1: Since 871 > 1, we apply the division lemma to 871 and 1, to get

871 = 1 x 871 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 871 is 1

Notice that 1 = HCF(871,1) .

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Frequently Asked Questions on HCF of 502, 809, 871 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 502, 809, 871?

Answer: HCF of 502, 809, 871 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 502, 809, 871 using Euclid's Algorithm?

Answer: For arbitrary numbers 502, 809, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.