Highest Common Factor of 7773, 8699 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 7773, 8699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7773, 8699 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 7773, 8699 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 7773, 8699 is 1.

HCF(7773, 8699) = 1

HCF of 7773, 8699 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 7773, 8699 is 1.

Highest Common Factor of 7773,8699 using Euclid's algorithm

Highest Common Factor of 7773,8699 is 1

Step 1: Since 8699 > 7773, we apply the division lemma to 8699 and 7773, to get

8699 = 7773 x 1 + 926

Step 2: Since the reminder 7773 ≠ 0, we apply division lemma to 926 and 7773, to get

7773 = 926 x 8 + 365

Step 3: We consider the new divisor 926 and the new remainder 365, and apply the division lemma to get

926 = 365 x 2 + 196

We consider the new divisor 365 and the new remainder 196,and apply the division lemma to get

365 = 196 x 1 + 169

We consider the new divisor 196 and the new remainder 169,and apply the division lemma to get

196 = 169 x 1 + 27

We consider the new divisor 169 and the new remainder 27,and apply the division lemma to get

169 = 27 x 6 + 7

We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get

27 = 7 x 3 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7773 and 8699 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(169,27) = HCF(196,169) = HCF(365,196) = HCF(926,365) = HCF(7773,926) = HCF(8699,7773) .

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Frequently Asked Questions on HCF of 7773, 8699 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 7773, 8699?

Answer: HCF of 7773, 8699 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7773, 8699 using Euclid's Algorithm?

Answer: For arbitrary numbers 7773, 8699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.