Highest Common Factor of 8973, 5212, 42954 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 8973, 5212, 42954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8973, 5212, 42954 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 8973, 5212, 42954 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 8973, 5212, 42954 is 1.

HCF(8973, 5212, 42954) = 1

HCF of 8973, 5212, 42954 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 8973, 5212, 42954 is 1.

Highest Common Factor of 8973,5212,42954 using Euclid's algorithm

Highest Common Factor of 8973,5212,42954 is 1

Step 1: Since 8973 > 5212, we apply the division lemma to 8973 and 5212, to get

8973 = 5212 x 1 + 3761

Step 2: Since the reminder 5212 ≠ 0, we apply division lemma to 3761 and 5212, to get

5212 = 3761 x 1 + 1451

Step 3: We consider the new divisor 3761 and the new remainder 1451, and apply the division lemma to get

3761 = 1451 x 2 + 859

We consider the new divisor 1451 and the new remainder 859,and apply the division lemma to get

1451 = 859 x 1 + 592

We consider the new divisor 859 and the new remainder 592,and apply the division lemma to get

859 = 592 x 1 + 267

We consider the new divisor 592 and the new remainder 267,and apply the division lemma to get

592 = 267 x 2 + 58

We consider the new divisor 267 and the new remainder 58,and apply the division lemma to get

267 = 58 x 4 + 35

We consider the new divisor 58 and the new remainder 35,and apply the division lemma to get

58 = 35 x 1 + 23

We consider the new divisor 35 and the new remainder 23,and apply the division lemma to get

35 = 23 x 1 + 12

We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get

23 = 12 x 1 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8973 and 5212 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(35,23) = HCF(58,35) = HCF(267,58) = HCF(592,267) = HCF(859,592) = HCF(1451,859) = HCF(3761,1451) = HCF(5212,3761) = HCF(8973,5212) .

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

Step 1: Since 42954 > 1, we apply the division lemma to 42954 and 1, to get

42954 = 1 x 42954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 42954 is 1

Notice that 1 = HCF(42954,1) .

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Frequently Asked Questions on HCF of 8973, 5212, 42954 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 8973, 5212, 42954?

Answer: HCF of 8973, 5212, 42954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8973, 5212, 42954 using Euclid's Algorithm?

Answer: For arbitrary numbers 8973, 5212, 42954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.