Highest Common Factor of 360, 955, 860, 618 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 360, 955, 860, 618 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 360, 955, 860, 618 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 360, 955, 860, 618 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 360, 955, 860, 618 is 1.

HCF(360, 955, 860, 618) = 1

HCF of 360, 955, 860, 618 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 360, 955, 860, 618 is 1.

Highest Common Factor of 360,955,860,618 using Euclid's algorithm

Highest Common Factor of 360,955,860,618 is 1

Step 1: Since 955 > 360, we apply the division lemma to 955 and 360, to get

955 = 360 x 2 + 235

Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 235 and 360, to get

360 = 235 x 1 + 125

Step 3: We consider the new divisor 235 and the new remainder 125, and apply the division lemma to get

235 = 125 x 1 + 110

We consider the new divisor 125 and the new remainder 110,and apply the division lemma to get

125 = 110 x 1 + 15

We consider the new divisor 110 and the new remainder 15,and apply the division lemma to get

110 = 15 x 7 + 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 360 and 955 is 5

Notice that 5 = HCF(15,5) = HCF(110,15) = HCF(125,110) = HCF(235,125) = HCF(360,235) = HCF(955,360) .

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

Step 1: Since 860 > 5, we apply the division lemma to 860 and 5, to get

860 = 5 x 172 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 860 is 5

Notice that 5 = HCF(860,5) .

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

Step 1: Since 618 > 5, we apply the division lemma to 618 and 5, to get

618 = 5 x 123 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: 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 5 and 618 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(618,5) .

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Frequently Asked Questions on HCF of 360, 955, 860, 618 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 360, 955, 860, 618?

Answer: HCF of 360, 955, 860, 618 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 360, 955, 860, 618 using Euclid's Algorithm?

Answer: For arbitrary numbers 360, 955, 860, 618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.