Highest Common Factor of 4430, 7881, 68683 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 4430, 7881, 68683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4430, 7881, 68683 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 4430, 7881, 68683 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 4430, 7881, 68683 is 1.

HCF(4430, 7881, 68683) = 1

HCF of 4430, 7881, 68683 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 4430, 7881, 68683 is 1.

Highest Common Factor of 4430,7881,68683 using Euclid's algorithm

Highest Common Factor of 4430,7881,68683 is 1

Step 1: Since 7881 > 4430, we apply the division lemma to 7881 and 4430, to get

7881 = 4430 x 1 + 3451

Step 2: Since the reminder 4430 ≠ 0, we apply division lemma to 3451 and 4430, to get

4430 = 3451 x 1 + 979

Step 3: We consider the new divisor 3451 and the new remainder 979, and apply the division lemma to get

3451 = 979 x 3 + 514

We consider the new divisor 979 and the new remainder 514,and apply the division lemma to get

979 = 514 x 1 + 465

We consider the new divisor 514 and the new remainder 465,and apply the division lemma to get

514 = 465 x 1 + 49

We consider the new divisor 465 and the new remainder 49,and apply the division lemma to get

465 = 49 x 9 + 24

We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get

49 = 24 x 2 + 1

We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get

24 = 1 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4430 and 7881 is 1

Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(465,49) = HCF(514,465) = HCF(979,514) = HCF(3451,979) = HCF(4430,3451) = HCF(7881,4430) .

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

Step 1: Since 68683 > 1, we apply the division lemma to 68683 and 1, to get

68683 = 1 x 68683 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68683 is 1

Notice that 1 = HCF(68683,1) .

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Frequently Asked Questions on HCF of 4430, 7881, 68683 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 4430, 7881, 68683?

Answer: HCF of 4430, 7881, 68683 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4430, 7881, 68683 using Euclid's Algorithm?

Answer: For arbitrary numbers 4430, 7881, 68683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.