Highest Common Factor of 4573, 1194, 21112 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 4573, 1194, 21112 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4573, 1194, 21112 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 4573, 1194, 21112 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 4573, 1194, 21112 is 1.

HCF(4573, 1194, 21112) = 1

HCF of 4573, 1194, 21112 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 4573, 1194, 21112 is 1.

Highest Common Factor of 4573,1194,21112 using Euclid's algorithm

Highest Common Factor of 4573,1194,21112 is 1

Step 1: Since 4573 > 1194, we apply the division lemma to 4573 and 1194, to get

4573 = 1194 x 3 + 991

Step 2: Since the reminder 1194 ≠ 0, we apply division lemma to 991 and 1194, to get

1194 = 991 x 1 + 203

Step 3: We consider the new divisor 991 and the new remainder 203, and apply the division lemma to get

991 = 203 x 4 + 179

We consider the new divisor 203 and the new remainder 179,and apply the division lemma to get

203 = 179 x 1 + 24

We consider the new divisor 179 and the new remainder 24,and apply the division lemma to get

179 = 24 x 7 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 4573 and 1194 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(179,24) = HCF(203,179) = HCF(991,203) = HCF(1194,991) = HCF(4573,1194) .

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

Step 1: Since 21112 > 1, we apply the division lemma to 21112 and 1, to get

21112 = 1 x 21112 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21112 is 1

Notice that 1 = HCF(21112,1) .

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Frequently Asked Questions on HCF of 4573, 1194, 21112 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 4573, 1194, 21112?

Answer: HCF of 4573, 1194, 21112 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4573, 1194, 21112 using Euclid's Algorithm?

Answer: For arbitrary numbers 4573, 1194, 21112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.