Highest Common Factor of 939, 599, 812 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 939, 599, 812 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 939, 599, 812 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 939, 599, 812 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 939, 599, 812 is 1.

HCF(939, 599, 812) = 1

HCF of 939, 599, 812 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 939, 599, 812 is 1.

Highest Common Factor of 939,599,812 using Euclid's algorithm

Highest Common Factor of 939,599,812 is 1

Step 1: Since 939 > 599, we apply the division lemma to 939 and 599, to get

939 = 599 x 1 + 340

Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 340 and 599, to get

599 = 340 x 1 + 259

Step 3: We consider the new divisor 340 and the new remainder 259, and apply the division lemma to get

340 = 259 x 1 + 81

We consider the new divisor 259 and the new remainder 81,and apply the division lemma to get

259 = 81 x 3 + 16

We consider the new divisor 81 and the new remainder 16,and apply the division lemma to get

81 = 16 x 5 + 1

We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get

16 = 1 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 939 and 599 is 1

Notice that 1 = HCF(16,1) = HCF(81,16) = HCF(259,81) = HCF(340,259) = HCF(599,340) = HCF(939,599) .

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

Step 1: Since 812 > 1, we apply the division lemma to 812 and 1, to get

812 = 1 x 812 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 812 is 1

Notice that 1 = HCF(812,1) .

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Frequently Asked Questions on HCF of 939, 599, 812 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 939, 599, 812?

Answer: HCF of 939, 599, 812 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 939, 599, 812 using Euclid's Algorithm?

Answer: For arbitrary numbers 939, 599, 812 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.