Highest Common Factor of 620, 986, 519 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 620, 986, 519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 986, 519 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 620, 986, 519 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 620, 986, 519 is 1.

HCF(620, 986, 519) = 1

HCF of 620, 986, 519 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 620, 986, 519 is 1.

Highest Common Factor of 620,986,519 using Euclid's algorithm

Highest Common Factor of 620,986,519 is 1

Step 1: Since 986 > 620, we apply the division lemma to 986 and 620, to get

986 = 620 x 1 + 366

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 366 and 620, to get

620 = 366 x 1 + 254

Step 3: We consider the new divisor 366 and the new remainder 254, and apply the division lemma to get

366 = 254 x 1 + 112

We consider the new divisor 254 and the new remainder 112,and apply the division lemma to get

254 = 112 x 2 + 30

We consider the new divisor 112 and the new remainder 30,and apply the division lemma to get

112 = 30 x 3 + 22

We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get

30 = 22 x 1 + 8

We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get

22 = 8 x 2 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 620 and 986 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(112,30) = HCF(254,112) = HCF(366,254) = HCF(620,366) = HCF(986,620) .

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

Step 1: Since 519 > 2, we apply the division lemma to 519 and 2, to get

519 = 2 x 259 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 519 is 1

Notice that 1 = HCF(2,1) = HCF(519,2) .

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Frequently Asked Questions on HCF of 620, 986, 519 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 620, 986, 519?

Answer: HCF of 620, 986, 519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 986, 519 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 986, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.