Highest Common Factor of 4343, 2650, 24237 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 4343, 2650, 24237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4343, 2650, 24237 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 4343, 2650, 24237 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 4343, 2650, 24237 is 1.

HCF(4343, 2650, 24237) = 1

HCF of 4343, 2650, 24237 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 4343, 2650, 24237 is 1.

Highest Common Factor of 4343,2650,24237 using Euclid's algorithm

Highest Common Factor of 4343,2650,24237 is 1

Step 1: Since 4343 > 2650, we apply the division lemma to 4343 and 2650, to get

4343 = 2650 x 1 + 1693

Step 2: Since the reminder 2650 ≠ 0, we apply division lemma to 1693 and 2650, to get

2650 = 1693 x 1 + 957

Step 3: We consider the new divisor 1693 and the new remainder 957, and apply the division lemma to get

1693 = 957 x 1 + 736

We consider the new divisor 957 and the new remainder 736,and apply the division lemma to get

957 = 736 x 1 + 221

We consider the new divisor 736 and the new remainder 221,and apply the division lemma to get

736 = 221 x 3 + 73

We consider the new divisor 221 and the new remainder 73,and apply the division lemma to get

221 = 73 x 3 + 2

We consider the new divisor 73 and the new remainder 2,and apply the division lemma to get

73 = 2 x 36 + 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 4343 and 2650 is 1

Notice that 1 = HCF(2,1) = HCF(73,2) = HCF(221,73) = HCF(736,221) = HCF(957,736) = HCF(1693,957) = HCF(2650,1693) = HCF(4343,2650) .

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

Step 1: Since 24237 > 1, we apply the division lemma to 24237 and 1, to get

24237 = 1 x 24237 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24237 is 1

Notice that 1 = HCF(24237,1) .

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Frequently Asked Questions on HCF of 4343, 2650, 24237 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 4343, 2650, 24237?

Answer: HCF of 4343, 2650, 24237 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4343, 2650, 24237 using Euclid's Algorithm?

Answer: For arbitrary numbers 4343, 2650, 24237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.