Highest Common Factor of 871, 542, 446 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, 542, 446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 871, 542, 446 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, 542, 446 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, 542, 446 is 1.

HCF(871, 542, 446) = 1

HCF of 871, 542, 446 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, 542, 446 is 1.

Highest Common Factor of 871,542,446 using Euclid's algorithm

Highest Common Factor of 871,542,446 is 1

Step 1: Since 871 > 542, we apply the division lemma to 871 and 542, to get

871 = 542 x 1 + 329

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 329 and 542, to get

542 = 329 x 1 + 213

Step 3: We consider the new divisor 329 and the new remainder 213, and apply the division lemma to get

329 = 213 x 1 + 116

We consider the new divisor 213 and the new remainder 116,and apply the division lemma to get

213 = 116 x 1 + 97

We consider the new divisor 116 and the new remainder 97,and apply the division lemma to get

116 = 97 x 1 + 19

We consider the new divisor 97 and the new remainder 19,and apply the division lemma to get

97 = 19 x 5 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 542 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(97,19) = HCF(116,97) = HCF(213,116) = HCF(329,213) = HCF(542,329) = HCF(871,542) .

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

Step 1: Since 446 > 1, we apply the division lemma to 446 and 1, to get

446 = 1 x 446 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 446 is 1

Notice that 1 = HCF(446,1) .

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Frequently Asked Questions on HCF of 871, 542, 446 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, 542, 446?

Answer: HCF of 871, 542, 446 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 871, 542, 446 using Euclid's Algorithm?

Answer: For arbitrary numbers 871, 542, 446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.