Highest Common Factor of 978, 593, 828 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 978, 593, 828 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 978, 593, 828 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 978, 593, 828 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 978, 593, 828 is 1.

HCF(978, 593, 828) = 1

HCF of 978, 593, 828 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 978, 593, 828 is 1.

Highest Common Factor of 978,593,828 using Euclid's algorithm

Highest Common Factor of 978,593,828 is 1

Step 1: Since 978 > 593, we apply the division lemma to 978 and 593, to get

978 = 593 x 1 + 385

Step 2: Since the reminder 593 ≠ 0, we apply division lemma to 385 and 593, to get

593 = 385 x 1 + 208

Step 3: We consider the new divisor 385 and the new remainder 208, and apply the division lemma to get

385 = 208 x 1 + 177

We consider the new divisor 208 and the new remainder 177,and apply the division lemma to get

208 = 177 x 1 + 31

We consider the new divisor 177 and the new remainder 31,and apply the division lemma to get

177 = 31 x 5 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 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 978 and 593 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(177,31) = HCF(208,177) = HCF(385,208) = HCF(593,385) = HCF(978,593) .

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

Step 1: Since 828 > 1, we apply the division lemma to 828 and 1, to get

828 = 1 x 828 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 828 is 1

Notice that 1 = HCF(828,1) .

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Frequently Asked Questions on HCF of 978, 593, 828 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 978, 593, 828?

Answer: HCF of 978, 593, 828 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 978, 593, 828 using Euclid's Algorithm?

Answer: For arbitrary numbers 978, 593, 828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.