Highest Common Factor of 310, 527, 568 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 310, 527, 568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 310, 527, 568 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 310, 527, 568 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 310, 527, 568 is 1.

HCF(310, 527, 568) = 1

HCF of 310, 527, 568 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 310, 527, 568 is 1.

Highest Common Factor of 310,527,568 using Euclid's algorithm

Highest Common Factor of 310,527,568 is 1

Step 1: Since 527 > 310, we apply the division lemma to 527 and 310, to get

527 = 310 x 1 + 217

Step 2: Since the reminder 310 ≠ 0, we apply division lemma to 217 and 310, to get

310 = 217 x 1 + 93

Step 3: We consider the new divisor 217 and the new remainder 93, and apply the division lemma to get

217 = 93 x 2 + 31

We consider the new divisor 93 and the new remainder 31, and apply the division lemma to get

93 = 31 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 310 and 527 is 31

Notice that 31 = HCF(93,31) = HCF(217,93) = HCF(310,217) = HCF(527,310) .

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

Step 1: Since 568 > 31, we apply the division lemma to 568 and 31, to get

568 = 31 x 18 + 10

Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 10 and 31, to get

31 = 10 x 3 + 1

Step 3: We consider the new divisor 10 and the new remainder 1, and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 31 and 568 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(568,31) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 310, 527, 568 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 310, 527, 568?

Answer: HCF of 310, 527, 568 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 310, 527, 568 using Euclid's Algorithm?

Answer: For arbitrary numbers 310, 527, 568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.