Highest Common Factor of 499, 300, 807 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, 300, 807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 499, 300, 807 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, 300, 807 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, 300, 807 is 1.

HCF(499, 300, 807) = 1

HCF of 499, 300, 807 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, 300, 807 is 1.

Highest Common Factor of 499,300,807 using Euclid's algorithm

Highest Common Factor of 499,300,807 is 1

Step 1: Since 499 > 300, we apply the division lemma to 499 and 300, to get

499 = 300 x 1 + 199

Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 199 and 300, to get

300 = 199 x 1 + 101

Step 3: We consider the new divisor 199 and the new remainder 101, and apply the division lemma to get

199 = 101 x 1 + 98

We consider the new divisor 101 and the new remainder 98,and apply the division lemma to get

101 = 98 x 1 + 3

We consider the new divisor 98 and the new remainder 3,and apply the division lemma to get

98 = 3 x 32 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 499 and 300 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(98,3) = HCF(101,98) = HCF(199,101) = HCF(300,199) = HCF(499,300) .

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

Step 1: Since 807 > 1, we apply the division lemma to 807 and 1, to get

807 = 1 x 807 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 807 is 1

Notice that 1 = HCF(807,1) .

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Frequently Asked Questions on HCF of 499, 300, 807 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, 300, 807?

Answer: HCF of 499, 300, 807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 499, 300, 807 using Euclid's Algorithm?

Answer: For arbitrary numbers 499, 300, 807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.