Highest Common Factor of 385, 587, 945, 865 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 385, 587, 945, 865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 385, 587, 945, 865 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 385, 587, 945, 865 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 385, 587, 945, 865 is 1.

HCF(385, 587, 945, 865) = 1

HCF of 385, 587, 945, 865 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 385, 587, 945, 865 is 1.

Highest Common Factor of 385,587,945,865 using Euclid's algorithm

Highest Common Factor of 385,587,945,865 is 1

Step 1: Since 587 > 385, we apply the division lemma to 587 and 385, to get

587 = 385 x 1 + 202

Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 202 and 385, to get

385 = 202 x 1 + 183

Step 3: We consider the new divisor 202 and the new remainder 183, and apply the division lemma to get

202 = 183 x 1 + 19

We consider the new divisor 183 and the new remainder 19,and apply the division lemma to get

183 = 19 x 9 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 385 and 587 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(183,19) = HCF(202,183) = HCF(385,202) = HCF(587,385) .

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

Step 1: Since 945 > 1, we apply the division lemma to 945 and 1, to get

945 = 1 x 945 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 945 is 1

Notice that 1 = HCF(945,1) .

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

Step 1: Since 865 > 1, we apply the division lemma to 865 and 1, to get

865 = 1 x 865 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 865 is 1

Notice that 1 = HCF(865,1) .

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Frequently Asked Questions on HCF of 385, 587, 945, 865 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 385, 587, 945, 865?

Answer: HCF of 385, 587, 945, 865 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 385, 587, 945, 865 using Euclid's Algorithm?

Answer: For arbitrary numbers 385, 587, 945, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.