Highest Common Factor of 527, 713, 190 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, 713, 190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 527, 713, 190 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, 713, 190 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, 713, 190 is 1.

HCF(527, 713, 190) = 1

HCF of 527, 713, 190 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, 713, 190 is 1.

Highest Common Factor of 527,713,190 using Euclid's algorithm

Highest Common Factor of 527,713,190 is 1

Step 1: Since 713 > 527, we apply the division lemma to 713 and 527, to get

713 = 527 x 1 + 186

Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 186 and 527, to get

527 = 186 x 2 + 155

Step 3: We consider the new divisor 186 and the new remainder 155, and apply the division lemma to get

186 = 155 x 1 + 31

We consider the new divisor 155 and the new remainder 31, and apply the division lemma to get

155 = 31 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 527 and 713 is 31

Notice that 31 = HCF(155,31) = HCF(186,155) = HCF(527,186) = HCF(713,527) .

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

Step 1: Since 190 > 31, we apply the division lemma to 190 and 31, to get

190 = 31 x 6 + 4

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 4 and 31, to get

31 = 4 x 7 + 3

Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get

4 = 3 x 1 + 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 31 and 190 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(190,31) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 527, 713, 190 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, 713, 190?

Answer: HCF of 527, 713, 190 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 527, 713, 190 using Euclid's Algorithm?

Answer: For arbitrary numbers 527, 713, 190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.