Highest Common Factor of 9607, 7083, 95282 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 9607, 7083, 95282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9607, 7083, 95282 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 9607, 7083, 95282 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 9607, 7083, 95282 is 1.

HCF(9607, 7083, 95282) = 1

HCF of 9607, 7083, 95282 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 9607, 7083, 95282 is 1.

Highest Common Factor of 9607,7083,95282 using Euclid's algorithm

Highest Common Factor of 9607,7083,95282 is 1

Step 1: Since 9607 > 7083, we apply the division lemma to 9607 and 7083, to get

9607 = 7083 x 1 + 2524

Step 2: Since the reminder 7083 ≠ 0, we apply division lemma to 2524 and 7083, to get

7083 = 2524 x 2 + 2035

Step 3: We consider the new divisor 2524 and the new remainder 2035, and apply the division lemma to get

2524 = 2035 x 1 + 489

We consider the new divisor 2035 and the new remainder 489,and apply the division lemma to get

2035 = 489 x 4 + 79

We consider the new divisor 489 and the new remainder 79,and apply the division lemma to get

489 = 79 x 6 + 15

We consider the new divisor 79 and the new remainder 15,and apply the division lemma to get

79 = 15 x 5 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9607 and 7083 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(79,15) = HCF(489,79) = HCF(2035,489) = HCF(2524,2035) = HCF(7083,2524) = HCF(9607,7083) .

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

Step 1: Since 95282 > 1, we apply the division lemma to 95282 and 1, to get

95282 = 1 x 95282 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95282 is 1

Notice that 1 = HCF(95282,1) .

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Frequently Asked Questions on HCF of 9607, 7083, 95282 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 9607, 7083, 95282?

Answer: HCF of 9607, 7083, 95282 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9607, 7083, 95282 using Euclid's Algorithm?

Answer: For arbitrary numbers 9607, 7083, 95282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.