Highest Common Factor of 554, 862, 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 554, 862, 265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 554, 862, 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 554, 862, 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 554, 862, 265 is 1.

HCF(554, 862, 265) = 1

HCF of 554, 862, 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 554, 862, 265 is 1.

Highest Common Factor of 554,862,265 using Euclid's algorithm

Highest Common Factor of 554,862,265 is 1

Step 1: Since 862 > 554, we apply the division lemma to 862 and 554, to get

862 = 554 x 1 + 308

Step 2: Since the reminder 554 ≠ 0, we apply division lemma to 308 and 554, to get

554 = 308 x 1 + 246

Step 3: We consider the new divisor 308 and the new remainder 246, and apply the division lemma to get

308 = 246 x 1 + 62

We consider the new divisor 246 and the new remainder 62,and apply the division lemma to get

246 = 62 x 3 + 60

We consider the new divisor 62 and the new remainder 60,and apply the division lemma to get

62 = 60 x 1 + 2

We consider the new divisor 60 and the new remainder 2,and apply the division lemma to get

60 = 2 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 554 and 862 is 2

Notice that 2 = HCF(60,2) = HCF(62,60) = HCF(246,62) = HCF(308,246) = HCF(554,308) = HCF(862,554) .

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

Step 1: Since 265 > 2, we apply the division lemma to 265 and 2, to get

265 = 2 x 132 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 265 is 1

Notice that 1 = HCF(2,1) = HCF(265,2) .

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Frequently Asked Questions on HCF of 554, 862, 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 554, 862, 265?

Answer: HCF of 554, 862, 265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 554, 862, 265 using Euclid's Algorithm?

Answer: For arbitrary numbers 554, 862, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.