Highest Common Factor of 848, 536, 365 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 848, 536, 365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 848, 536, 365 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 848, 536, 365 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 848, 536, 365 is 1.

HCF(848, 536, 365) = 1

HCF of 848, 536, 365 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 848, 536, 365 is 1.

Highest Common Factor of 848,536,365 using Euclid's algorithm

Highest Common Factor of 848,536,365 is 1

Step 1: Since 848 > 536, we apply the division lemma to 848 and 536, to get

848 = 536 x 1 + 312

Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 312 and 536, to get

536 = 312 x 1 + 224

Step 3: We consider the new divisor 312 and the new remainder 224, and apply the division lemma to get

312 = 224 x 1 + 88

We consider the new divisor 224 and the new remainder 88,and apply the division lemma to get

224 = 88 x 2 + 48

We consider the new divisor 88 and the new remainder 48,and apply the division lemma to get

88 = 48 x 1 + 40

We consider the new divisor 48 and the new remainder 40,and apply the division lemma to get

48 = 40 x 1 + 8

We consider the new divisor 40 and the new remainder 8,and apply the division lemma to get

40 = 8 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 848 and 536 is 8

Notice that 8 = HCF(40,8) = HCF(48,40) = HCF(88,48) = HCF(224,88) = HCF(312,224) = HCF(536,312) = HCF(848,536) .

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

Step 1: Since 365 > 8, we apply the division lemma to 365 and 8, to get

365 = 8 x 45 + 5

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 5 and 8, to get

8 = 5 x 1 + 3

Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get

5 = 3 x 1 + 2

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 8 and 365 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(365,8) .

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Frequently Asked Questions on HCF of 848, 536, 365 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 848, 536, 365?

Answer: HCF of 848, 536, 365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 848, 536, 365 using Euclid's Algorithm?

Answer: For arbitrary numbers 848, 536, 365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.