Highest Common Factor of 7773, 5588 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, 5588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7773, 5588 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, 5588 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, 5588 is 1.

HCF(7773, 5588) = 1

HCF of 7773, 5588 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, 5588 is 1.

Highest Common Factor of 7773,5588 using Euclid's algorithm

Highest Common Factor of 7773,5588 is 1

Step 1: Since 7773 > 5588, we apply the division lemma to 7773 and 5588, to get

7773 = 5588 x 1 + 2185

Step 2: Since the reminder 5588 ≠ 0, we apply division lemma to 2185 and 5588, to get

5588 = 2185 x 2 + 1218

Step 3: We consider the new divisor 2185 and the new remainder 1218, and apply the division lemma to get

2185 = 1218 x 1 + 967

We consider the new divisor 1218 and the new remainder 967,and apply the division lemma to get

1218 = 967 x 1 + 251

We consider the new divisor 967 and the new remainder 251,and apply the division lemma to get

967 = 251 x 3 + 214

We consider the new divisor 251 and the new remainder 214,and apply the division lemma to get

251 = 214 x 1 + 37

We consider the new divisor 214 and the new remainder 37,and apply the division lemma to get

214 = 37 x 5 + 29

We consider the new divisor 37 and the new remainder 29,and apply the division lemma to get

37 = 29 x 1 + 8

We consider the new divisor 29 and the new remainder 8,and apply the division lemma to get

29 = 8 x 3 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 7773 and 5588 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(29,8) = HCF(37,29) = HCF(214,37) = HCF(251,214) = HCF(967,251) = HCF(1218,967) = HCF(2185,1218) = HCF(5588,2185) = HCF(7773,5588) .

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Frequently Asked Questions on HCF of 7773, 5588 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, 5588?

Answer: HCF of 7773, 5588 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7773, 5588 using Euclid's Algorithm?

Answer: For arbitrary numbers 7773, 5588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.