Highest Common Factor of 1224, 4307, 41897 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 1224, 4307, 41897 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1224, 4307, 41897 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 1224, 4307, 41897 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 1224, 4307, 41897 is 1.

HCF(1224, 4307, 41897) = 1

HCF of 1224, 4307, 41897 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 1224, 4307, 41897 is 1.

Highest Common Factor of 1224,4307,41897 using Euclid's algorithm

Highest Common Factor of 1224,4307,41897 is 1

Step 1: Since 4307 > 1224, we apply the division lemma to 4307 and 1224, to get

4307 = 1224 x 3 + 635

Step 2: Since the reminder 1224 ≠ 0, we apply division lemma to 635 and 1224, to get

1224 = 635 x 1 + 589

Step 3: We consider the new divisor 635 and the new remainder 589, and apply the division lemma to get

635 = 589 x 1 + 46

We consider the new divisor 589 and the new remainder 46,and apply the division lemma to get

589 = 46 x 12 + 37

We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get

46 = 37 x 1 + 9

We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get

37 = 9 x 4 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1224 and 4307 is 1

Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(589,46) = HCF(635,589) = HCF(1224,635) = HCF(4307,1224) .

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

Step 1: Since 41897 > 1, we apply the division lemma to 41897 and 1, to get

41897 = 1 x 41897 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41897 is 1

Notice that 1 = HCF(41897,1) .

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Frequently Asked Questions on HCF of 1224, 4307, 41897 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 1224, 4307, 41897?

Answer: HCF of 1224, 4307, 41897 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1224, 4307, 41897 using Euclid's Algorithm?

Answer: For arbitrary numbers 1224, 4307, 41897 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.