Highest Common Factor of 9948, 7715, 43905 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 9948, 7715, 43905 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9948, 7715, 43905 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 9948, 7715, 43905 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 9948, 7715, 43905 is 1.

HCF(9948, 7715, 43905) = 1

HCF of 9948, 7715, 43905 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 9948, 7715, 43905 is 1.

Highest Common Factor of 9948,7715,43905 using Euclid's algorithm

Highest Common Factor of 9948,7715,43905 is 1

Step 1: Since 9948 > 7715, we apply the division lemma to 9948 and 7715, to get

9948 = 7715 x 1 + 2233

Step 2: Since the reminder 7715 ≠ 0, we apply division lemma to 2233 and 7715, to get

7715 = 2233 x 3 + 1016

Step 3: We consider the new divisor 2233 and the new remainder 1016, and apply the division lemma to get

2233 = 1016 x 2 + 201

We consider the new divisor 1016 and the new remainder 201,and apply the division lemma to get

1016 = 201 x 5 + 11

We consider the new divisor 201 and the new remainder 11,and apply the division lemma to get

201 = 11 x 18 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 9948 and 7715 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(201,11) = HCF(1016,201) = HCF(2233,1016) = HCF(7715,2233) = HCF(9948,7715) .

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

Step 1: Since 43905 > 1, we apply the division lemma to 43905 and 1, to get

43905 = 1 x 43905 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43905 is 1

Notice that 1 = HCF(43905,1) .

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Frequently Asked Questions on HCF of 9948, 7715, 43905 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 9948, 7715, 43905?

Answer: HCF of 9948, 7715, 43905 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9948, 7715, 43905 using Euclid's Algorithm?

Answer: For arbitrary numbers 9948, 7715, 43905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.