Highest Common Factor of 527, 322, 46 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 527, 322, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 527, 322, 46 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 527, 322, 46 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 527, 322, 46 is 1.

HCF(527, 322, 46) = 1

HCF of 527, 322, 46 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 527, 322, 46 is 1.

Highest Common Factor of 527,322,46 using Euclid's algorithm

Highest Common Factor of 527,322,46 is 1

Step 1: Since 527 > 322, we apply the division lemma to 527 and 322, to get

527 = 322 x 1 + 205

Step 2: Since the reminder 322 ≠ 0, we apply division lemma to 205 and 322, to get

322 = 205 x 1 + 117

Step 3: We consider the new divisor 205 and the new remainder 117, and apply the division lemma to get

205 = 117 x 1 + 88

We consider the new divisor 117 and the new remainder 88,and apply the division lemma to get

117 = 88 x 1 + 29

We consider the new divisor 88 and the new remainder 29,and apply the division lemma to get

88 = 29 x 3 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 527 and 322 is 1

Notice that 1 = HCF(29,1) = HCF(88,29) = HCF(117,88) = HCF(205,117) = HCF(322,205) = HCF(527,322) .

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

Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get

46 = 1 x 46 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1

Notice that 1 = HCF(46,1) .

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Frequently Asked Questions on HCF of 527, 322, 46 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 527, 322, 46?

Answer: HCF of 527, 322, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 527, 322, 46 using Euclid's Algorithm?

Answer: For arbitrary numbers 527, 322, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.