Highest Common Factor of 1881, 7192, 59742 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 1881, 7192, 59742 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1881, 7192, 59742 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 1881, 7192, 59742 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 1881, 7192, 59742 is 1.

HCF(1881, 7192, 59742) = 1

HCF of 1881, 7192, 59742 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 1881, 7192, 59742 is 1.

Highest Common Factor of 1881,7192,59742 using Euclid's algorithm

Highest Common Factor of 1881,7192,59742 is 1

Step 1: Since 7192 > 1881, we apply the division lemma to 7192 and 1881, to get

7192 = 1881 x 3 + 1549

Step 2: Since the reminder 1881 ≠ 0, we apply division lemma to 1549 and 1881, to get

1881 = 1549 x 1 + 332

Step 3: We consider the new divisor 1549 and the new remainder 332, and apply the division lemma to get

1549 = 332 x 4 + 221

We consider the new divisor 332 and the new remainder 221,and apply the division lemma to get

332 = 221 x 1 + 111

We consider the new divisor 221 and the new remainder 111,and apply the division lemma to get

221 = 111 x 1 + 110

We consider the new divisor 111 and the new remainder 110,and apply the division lemma to get

111 = 110 x 1 + 1

We consider the new divisor 110 and the new remainder 1,and apply the division lemma to get

110 = 1 x 110 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1881 and 7192 is 1

Notice that 1 = HCF(110,1) = HCF(111,110) = HCF(221,111) = HCF(332,221) = HCF(1549,332) = HCF(1881,1549) = HCF(7192,1881) .

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

Step 1: Since 59742 > 1, we apply the division lemma to 59742 and 1, to get

59742 = 1 x 59742 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59742 is 1

Notice that 1 = HCF(59742,1) .

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Frequently Asked Questions on HCF of 1881, 7192, 59742 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 1881, 7192, 59742?

Answer: HCF of 1881, 7192, 59742 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1881, 7192, 59742 using Euclid's Algorithm?

Answer: For arbitrary numbers 1881, 7192, 59742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.