Highest Common Factor of 871, 470, 926 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 871, 470, 926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 470, 926 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 871, 470, 926 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 871, 470, 926 is 1.

HCF(871, 470, 926) = 1

HCF of 871, 470, 926 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 871, 470, 926 is 1.

Highest Common Factor of 871,470,926 using Euclid's algorithm

Highest Common Factor of 871,470,926 is 1

Step 1: Since 871 > 470, we apply the division lemma to 871 and 470, to get

871 = 470 x 1 + 401

Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 401 and 470, to get

470 = 401 x 1 + 69

Step 3: We consider the new divisor 401 and the new remainder 69, and apply the division lemma to get

401 = 69 x 5 + 56

We consider the new divisor 69 and the new remainder 56,and apply the division lemma to get

69 = 56 x 1 + 13

We consider the new divisor 56 and the new remainder 13,and apply the division lemma to get

56 = 13 x 4 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 871 and 470 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(56,13) = HCF(69,56) = HCF(401,69) = HCF(470,401) = HCF(871,470) .

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

Step 1: Since 926 > 1, we apply the division lemma to 926 and 1, to get

926 = 1 x 926 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 926 is 1

Notice that 1 = HCF(926,1) .

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Frequently Asked Questions on HCF of 871, 470, 926 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 871, 470, 926?

Answer: HCF of 871, 470, 926 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 470, 926 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 470, 926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.