Highest Common Factor of 7085, 9865, 10594 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 7085, 9865, 10594 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7085, 9865, 10594 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 7085, 9865, 10594 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 7085, 9865, 10594 is 1.

HCF(7085, 9865, 10594) = 1

HCF of 7085, 9865, 10594 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 7085, 9865, 10594 is 1.

Highest Common Factor of 7085,9865,10594 using Euclid's algorithm

Highest Common Factor of 7085,9865,10594 is 1

Step 1: Since 9865 > 7085, we apply the division lemma to 9865 and 7085, to get

9865 = 7085 x 1 + 2780

Step 2: Since the reminder 7085 ≠ 0, we apply division lemma to 2780 and 7085, to get

7085 = 2780 x 2 + 1525

Step 3: We consider the new divisor 2780 and the new remainder 1525, and apply the division lemma to get

2780 = 1525 x 1 + 1255

We consider the new divisor 1525 and the new remainder 1255,and apply the division lemma to get

1525 = 1255 x 1 + 270

We consider the new divisor 1255 and the new remainder 270,and apply the division lemma to get

1255 = 270 x 4 + 175

We consider the new divisor 270 and the new remainder 175,and apply the division lemma to get

270 = 175 x 1 + 95

We consider the new divisor 175 and the new remainder 95,and apply the division lemma to get

175 = 95 x 1 + 80

We consider the new divisor 95 and the new remainder 80,and apply the division lemma to get

95 = 80 x 1 + 15

We consider the new divisor 80 and the new remainder 15,and apply the division lemma to get

80 = 15 x 5 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7085 and 9865 is 5

Notice that 5 = HCF(15,5) = HCF(80,15) = HCF(95,80) = HCF(175,95) = HCF(270,175) = HCF(1255,270) = HCF(1525,1255) = HCF(2780,1525) = HCF(7085,2780) = HCF(9865,7085) .

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

Step 1: Since 10594 > 5, we apply the division lemma to 10594 and 5, to get

10594 = 5 x 2118 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 10594 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(10594,5) .

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Frequently Asked Questions on HCF of 7085, 9865, 10594 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 7085, 9865, 10594?

Answer: HCF of 7085, 9865, 10594 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7085, 9865, 10594 using Euclid's Algorithm?

Answer: For arbitrary numbers 7085, 9865, 10594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.