Highest Common Factor of 1572, 1801, 48669 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 1572, 1801, 48669 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1572, 1801, 48669 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 1572, 1801, 48669 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 1572, 1801, 48669 is 1.

HCF(1572, 1801, 48669) = 1

HCF of 1572, 1801, 48669 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 1572, 1801, 48669 is 1.

Highest Common Factor of 1572,1801,48669 using Euclid's algorithm

Highest Common Factor of 1572,1801,48669 is 1

Step 1: Since 1801 > 1572, we apply the division lemma to 1801 and 1572, to get

1801 = 1572 x 1 + 229

Step 2: Since the reminder 1572 ≠ 0, we apply division lemma to 229 and 1572, to get

1572 = 229 x 6 + 198

Step 3: We consider the new divisor 229 and the new remainder 198, and apply the division lemma to get

229 = 198 x 1 + 31

We consider the new divisor 198 and the new remainder 31,and apply the division lemma to get

198 = 31 x 6 + 12

We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get

31 = 12 x 2 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1572 and 1801 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(198,31) = HCF(229,198) = HCF(1572,229) = HCF(1801,1572) .

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

Step 1: Since 48669 > 1, we apply the division lemma to 48669 and 1, to get

48669 = 1 x 48669 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48669 is 1

Notice that 1 = HCF(48669,1) .

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Frequently Asked Questions on HCF of 1572, 1801, 48669 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 1572, 1801, 48669?

Answer: HCF of 1572, 1801, 48669 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1572, 1801, 48669 using Euclid's Algorithm?

Answer: For arbitrary numbers 1572, 1801, 48669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.