Highest Common Factor of 799, 87403 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 799, 87403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 799, 87403 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 799, 87403 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 799, 87403 is 1.

HCF(799, 87403) = 1

HCF of 799, 87403 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 799, 87403 is 1.

Highest Common Factor of 799,87403 using Euclid's algorithm

Highest Common Factor of 799,87403 is 1

Step 1: Since 87403 > 799, we apply the division lemma to 87403 and 799, to get

87403 = 799 x 109 + 312

Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 312 and 799, to get

799 = 312 x 2 + 175

Step 3: We consider the new divisor 312 and the new remainder 175, and apply the division lemma to get

312 = 175 x 1 + 137

We consider the new divisor 175 and the new remainder 137,and apply the division lemma to get

175 = 137 x 1 + 38

We consider the new divisor 137 and the new remainder 38,and apply the division lemma to get

137 = 38 x 3 + 23

We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get

38 = 23 x 1 + 15

We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get

23 = 15 x 1 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 799 and 87403 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(137,38) = HCF(175,137) = HCF(312,175) = HCF(799,312) = HCF(87403,799) .

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Frequently Asked Questions on HCF of 799, 87403 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 799, 87403?

Answer: HCF of 799, 87403 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 799, 87403 using Euclid's Algorithm?

Answer: For arbitrary numbers 799, 87403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.