Highest Common Factor of 587, 820, 848 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 587, 820, 848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 820, 848 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 587, 820, 848 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 587, 820, 848 is 1.

HCF(587, 820, 848) = 1

HCF of 587, 820, 848 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 587, 820, 848 is 1.

Highest Common Factor of 587,820,848 using Euclid's algorithm

Highest Common Factor of 587,820,848 is 1

Step 1: Since 820 > 587, we apply the division lemma to 820 and 587, to get

820 = 587 x 1 + 233

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 233 and 587, to get

587 = 233 x 2 + 121

Step 3: We consider the new divisor 233 and the new remainder 121, and apply the division lemma to get

233 = 121 x 1 + 112

We consider the new divisor 121 and the new remainder 112,and apply the division lemma to get

121 = 112 x 1 + 9

We consider the new divisor 112 and the new remainder 9,and apply the division lemma to get

112 = 9 x 12 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

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 587 and 820 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(112,9) = HCF(121,112) = HCF(233,121) = HCF(587,233) = HCF(820,587) .


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

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

848 = 1 x 848 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 848 is 1

Notice that 1 = HCF(848,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 587, 820, 848 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 587, 820, 848?

Answer: HCF of 587, 820, 848 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 820, 848 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 820, 848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.