Highest Common Factor of 919, 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 919, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 919, 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 919, 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 919, 527 is 1.

HCF(919, 527) = 1

HCF of 919, 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 919, 527 is 1.

Highest Common Factor of 919,527 using Euclid's algorithm

Highest Common Factor of 919,527 is 1

Step 1: Since 919 > 527, we apply the division lemma to 919 and 527, to get

919 = 527 x 1 + 392

Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 392 and 527, to get

527 = 392 x 1 + 135

Step 3: We consider the new divisor 392 and the new remainder 135, and apply the division lemma to get

392 = 135 x 2 + 122

We consider the new divisor 135 and the new remainder 122,and apply the division lemma to get

135 = 122 x 1 + 13

We consider the new divisor 122 and the new remainder 13,and apply the division lemma to get

122 = 13 x 9 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 919 and 527 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(122,13) = HCF(135,122) = HCF(392,135) = HCF(527,392) = HCF(919,527) .

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Frequently Asked Questions on HCF of 919, 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 919, 527?

Answer: HCF of 919, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 919, 527 using Euclid's Algorithm?

Answer: For arbitrary numbers 919, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.