Highest Common Factor of 9995, 4224, 57035 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 9995, 4224, 57035 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9995, 4224, 57035 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 9995, 4224, 57035 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 9995, 4224, 57035 is 1.

HCF(9995, 4224, 57035) = 1

HCF of 9995, 4224, 57035 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 9995, 4224, 57035 is 1.

Highest Common Factor of 9995,4224,57035 using Euclid's algorithm

Highest Common Factor of 9995,4224,57035 is 1

Step 1: Since 9995 > 4224, we apply the division lemma to 9995 and 4224, to get

9995 = 4224 x 2 + 1547

Step 2: Since the reminder 4224 ≠ 0, we apply division lemma to 1547 and 4224, to get

4224 = 1547 x 2 + 1130

Step 3: We consider the new divisor 1547 and the new remainder 1130, and apply the division lemma to get

1547 = 1130 x 1 + 417

We consider the new divisor 1130 and the new remainder 417,and apply the division lemma to get

1130 = 417 x 2 + 296

We consider the new divisor 417 and the new remainder 296,and apply the division lemma to get

417 = 296 x 1 + 121

We consider the new divisor 296 and the new remainder 121,and apply the division lemma to get

296 = 121 x 2 + 54

We consider the new divisor 121 and the new remainder 54,and apply the division lemma to get

121 = 54 x 2 + 13

We consider the new divisor 54 and the new remainder 13,and apply the division lemma to get

54 = 13 x 4 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9995 and 4224 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(54,13) = HCF(121,54) = HCF(296,121) = HCF(417,296) = HCF(1130,417) = HCF(1547,1130) = HCF(4224,1547) = HCF(9995,4224) .

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

Step 1: Since 57035 > 1, we apply the division lemma to 57035 and 1, to get

57035 = 1 x 57035 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57035 is 1

Notice that 1 = HCF(57035,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9995, 4224, 57035 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 9995, 4224, 57035?

Answer: HCF of 9995, 4224, 57035 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9995, 4224, 57035 using Euclid's Algorithm?

Answer: For arbitrary numbers 9995, 4224, 57035 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.