Highest Common Factor of 4838, 2926 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 4838, 2926 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4838, 2926 is 2 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 4838, 2926 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 4838, 2926 is 2.

HCF(4838, 2926) = 2

HCF of 4838, 2926 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 4838, 2926 is 2.

Highest Common Factor of 4838,2926 using Euclid's algorithm

Highest Common Factor of 4838,2926 is 2

Step 1: Since 4838 > 2926, we apply the division lemma to 4838 and 2926, to get

4838 = 2926 x 1 + 1912

Step 2: Since the reminder 2926 ≠ 0, we apply division lemma to 1912 and 2926, to get

2926 = 1912 x 1 + 1014

Step 3: We consider the new divisor 1912 and the new remainder 1014, and apply the division lemma to get

1912 = 1014 x 1 + 898

We consider the new divisor 1014 and the new remainder 898,and apply the division lemma to get

1014 = 898 x 1 + 116

We consider the new divisor 898 and the new remainder 116,and apply the division lemma to get

898 = 116 x 7 + 86

We consider the new divisor 116 and the new remainder 86,and apply the division lemma to get

116 = 86 x 1 + 30

We consider the new divisor 86 and the new remainder 30,and apply the division lemma to get

86 = 30 x 2 + 26

We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get

30 = 26 x 1 + 4

We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get

26 = 4 x 6 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4838 and 2926 is 2

Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(86,30) = HCF(116,86) = HCF(898,116) = HCF(1014,898) = HCF(1912,1014) = HCF(2926,1912) = HCF(4838,2926) .

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Frequently Asked Questions on HCF of 4838, 2926 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 4838, 2926?

Answer: HCF of 4838, 2926 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4838, 2926 using Euclid's Algorithm?

Answer: For arbitrary numbers 4838, 2926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.