Highest Common Factor of 3126, 8294, 44759 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 3126, 8294, 44759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3126, 8294, 44759 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 3126, 8294, 44759 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 3126, 8294, 44759 is 1.

HCF(3126, 8294, 44759) = 1

HCF of 3126, 8294, 44759 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 3126, 8294, 44759 is 1.

Highest Common Factor of 3126,8294,44759 using Euclid's algorithm

Highest Common Factor of 3126,8294,44759 is 1

Step 1: Since 8294 > 3126, we apply the division lemma to 8294 and 3126, to get

8294 = 3126 x 2 + 2042

Step 2: Since the reminder 3126 ≠ 0, we apply division lemma to 2042 and 3126, to get

3126 = 2042 x 1 + 1084

Step 3: We consider the new divisor 2042 and the new remainder 1084, and apply the division lemma to get

2042 = 1084 x 1 + 958

We consider the new divisor 1084 and the new remainder 958,and apply the division lemma to get

1084 = 958 x 1 + 126

We consider the new divisor 958 and the new remainder 126,and apply the division lemma to get

958 = 126 x 7 + 76

We consider the new divisor 126 and the new remainder 76,and apply the division lemma to get

126 = 76 x 1 + 50

We consider the new divisor 76 and the new remainder 50,and apply the division lemma to get

76 = 50 x 1 + 26

We consider the new divisor 50 and the new remainder 26,and apply the division lemma to get

50 = 26 x 1 + 24

We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get

26 = 24 x 1 + 2

We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get

24 = 2 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3126 and 8294 is 2

Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(50,26) = HCF(76,50) = HCF(126,76) = HCF(958,126) = HCF(1084,958) = HCF(2042,1084) = HCF(3126,2042) = HCF(8294,3126) .

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

Step 1: Since 44759 > 2, we apply the division lemma to 44759 and 2, to get

44759 = 2 x 22379 + 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 44759 is 1

Notice that 1 = HCF(2,1) = HCF(44759,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3126, 8294, 44759 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 3126, 8294, 44759?

Answer: HCF of 3126, 8294, 44759 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3126, 8294, 44759 using Euclid's Algorithm?

Answer: For arbitrary numbers 3126, 8294, 44759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.