Highest Common Factor of 265, 982, 858 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 265, 982, 858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 265, 982, 858 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 265, 982, 858 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 265, 982, 858 is 1.

HCF(265, 982, 858) = 1

HCF of 265, 982, 858 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 265, 982, 858 is 1.

Highest Common Factor of 265,982,858 using Euclid's algorithm

Highest Common Factor of 265,982,858 is 1

Step 1: Since 982 > 265, we apply the division lemma to 982 and 265, to get

982 = 265 x 3 + 187

Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 187 and 265, to get

265 = 187 x 1 + 78

Step 3: We consider the new divisor 187 and the new remainder 78, and apply the division lemma to get

187 = 78 x 2 + 31

We consider the new divisor 78 and the new remainder 31,and apply the division lemma to get

78 = 31 x 2 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 265 and 982 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(78,31) = HCF(187,78) = HCF(265,187) = HCF(982,265) .

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

Step 1: Since 858 > 1, we apply the division lemma to 858 and 1, to get

858 = 1 x 858 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 858 is 1

Notice that 1 = HCF(858,1) .

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Frequently Asked Questions on HCF of 265, 982, 858 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 265, 982, 858?

Answer: HCF of 265, 982, 858 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 265, 982, 858 using Euclid's Algorithm?

Answer: For arbitrary numbers 265, 982, 858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.