Highest Common Factor of 499, 95130 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 499, 95130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 95130 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 499, 95130 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 499, 95130 is 1.

HCF(499, 95130) = 1

HCF of 499, 95130 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 499, 95130 is 1.

Highest Common Factor of 499,95130 using Euclid's algorithm

Highest Common Factor of 499,95130 is 1

Step 1: Since 95130 > 499, we apply the division lemma to 95130 and 499, to get

95130 = 499 x 190 + 320

Step 2: Since the reminder 499 ≠ 0, we apply division lemma to 320 and 499, to get

499 = 320 x 1 + 179

Step 3: We consider the new divisor 320 and the new remainder 179, and apply the division lemma to get

320 = 179 x 1 + 141

We consider the new divisor 179 and the new remainder 141,and apply the division lemma to get

179 = 141 x 1 + 38

We consider the new divisor 141 and the new remainder 38,and apply the division lemma to get

141 = 38 x 3 + 27

We consider the new divisor 38 and the new remainder 27,and apply the division lemma to get

38 = 27 x 1 + 11

We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get

27 = 11 x 2 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 499 and 95130 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(38,27) = HCF(141,38) = HCF(179,141) = HCF(320,179) = HCF(499,320) = HCF(95130,499) .

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Frequently Asked Questions on HCF of 499, 95130 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 499, 95130?

Answer: HCF of 499, 95130 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 95130 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 95130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.