Highest Common Factor of 4919, 1010 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 4919, 1010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4919, 1010 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 4919, 1010 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 4919, 1010 is 1.

HCF(4919, 1010) = 1

HCF of 4919, 1010 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 4919, 1010 is 1.

Highest Common Factor of 4919,1010 using Euclid's algorithm

Highest Common Factor of 4919,1010 is 1

Step 1: Since 4919 > 1010, we apply the division lemma to 4919 and 1010, to get

4919 = 1010 x 4 + 879

Step 2: Since the reminder 1010 ≠ 0, we apply division lemma to 879 and 1010, to get

1010 = 879 x 1 + 131

Step 3: We consider the new divisor 879 and the new remainder 131, and apply the division lemma to get

879 = 131 x 6 + 93

We consider the new divisor 131 and the new remainder 93,and apply the division lemma to get

131 = 93 x 1 + 38

We consider the new divisor 93 and the new remainder 38,and apply the division lemma to get

93 = 38 x 2 + 17

We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get

38 = 17 x 2 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4919 and 1010 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(93,38) = HCF(131,93) = HCF(879,131) = HCF(1010,879) = HCF(4919,1010) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4919, 1010 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 4919, 1010?

Answer: HCF of 4919, 1010 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4919, 1010 using Euclid's Algorithm?

Answer: For arbitrary numbers 4919, 1010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.