Highest Common Factor of 293, 769, 527 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 293, 769, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 293, 769, 527 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 293, 769, 527 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 293, 769, 527 is 1.

HCF(293, 769, 527) = 1

HCF of 293, 769, 527 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 293, 769, 527 is 1.

Highest Common Factor of 293,769,527 using Euclid's algorithm

Highest Common Factor of 293,769,527 is 1

Step 1: Since 769 > 293, we apply the division lemma to 769 and 293, to get

769 = 293 x 2 + 183

Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 183 and 293, to get

293 = 183 x 1 + 110

Step 3: We consider the new divisor 183 and the new remainder 110, and apply the division lemma to get

183 = 110 x 1 + 73

We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get

110 = 73 x 1 + 37

We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get

73 = 37 x 1 + 36

We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get

37 = 36 x 1 + 1

We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get

36 = 1 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 293 and 769 is 1

Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(183,110) = HCF(293,183) = HCF(769,293) .

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

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

527 = 1 x 527 + 0

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

Notice that 1 = HCF(527,1) .

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Frequently Asked Questions on HCF of 293, 769, 527 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 293, 769, 527?

Answer: HCF of 293, 769, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 293, 769, 527 using Euclid's Algorithm?

Answer: For arbitrary numbers 293, 769, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.