Highest Common Factor of 494, 988, 265 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 494, 988, 265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 494, 988, 265 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 494, 988, 265 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 494, 988, 265 is 1.

HCF(494, 988, 265) = 1

HCF of 494, 988, 265 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 494, 988, 265 is 1.

Highest Common Factor of 494,988,265 using Euclid's algorithm

Highest Common Factor of 494,988,265 is 1

Step 1: Since 988 > 494, we apply the division lemma to 988 and 494, to get

988 = 494 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 494, the HCF of 494 and 988 is 494

Notice that 494 = HCF(988,494) .

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

Step 1: Since 494 > 265, we apply the division lemma to 494 and 265, to get

494 = 265 x 1 + 229

Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 229 and 265, to get

265 = 229 x 1 + 36

Step 3: We consider the new divisor 229 and the new remainder 36, and apply the division lemma to get

229 = 36 x 6 + 13

We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get

36 = 13 x 2 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 494 and 265 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(229,36) = HCF(265,229) = HCF(494,265) .

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Frequently Asked Questions on HCF of 494, 988, 265 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 494, 988, 265?

Answer: HCF of 494, 988, 265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 494, 988, 265 using Euclid's Algorithm?

Answer: For arbitrary numbers 494, 988, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.