Highest Common Factor of 9732, 4259, 60558 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 9732, 4259, 60558 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9732, 4259, 60558 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 9732, 4259, 60558 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 9732, 4259, 60558 is 1.

HCF(9732, 4259, 60558) = 1

HCF of 9732, 4259, 60558 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 9732, 4259, 60558 is 1.

Highest Common Factor of 9732,4259,60558 using Euclid's algorithm

Highest Common Factor of 9732,4259,60558 is 1

Step 1: Since 9732 > 4259, we apply the division lemma to 9732 and 4259, to get

9732 = 4259 x 2 + 1214

Step 2: Since the reminder 4259 ≠ 0, we apply division lemma to 1214 and 4259, to get

4259 = 1214 x 3 + 617

Step 3: We consider the new divisor 1214 and the new remainder 617, and apply the division lemma to get

1214 = 617 x 1 + 597

We consider the new divisor 617 and the new remainder 597,and apply the division lemma to get

617 = 597 x 1 + 20

We consider the new divisor 597 and the new remainder 20,and apply the division lemma to get

597 = 20 x 29 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9732 and 4259 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(597,20) = HCF(617,597) = HCF(1214,617) = HCF(4259,1214) = HCF(9732,4259) .

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

Step 1: Since 60558 > 1, we apply the division lemma to 60558 and 1, to get

60558 = 1 x 60558 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60558 is 1

Notice that 1 = HCF(60558,1) .

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Frequently Asked Questions on HCF of 9732, 4259, 60558 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 9732, 4259, 60558?

Answer: HCF of 9732, 4259, 60558 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9732, 4259, 60558 using Euclid's Algorithm?

Answer: For arbitrary numbers 9732, 4259, 60558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.