Highest Common Factor of 7378, 5569, 47111 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 7378, 5569, 47111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7378, 5569, 47111 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 7378, 5569, 47111 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 7378, 5569, 47111 is 1.

HCF(7378, 5569, 47111) = 1

HCF of 7378, 5569, 47111 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 7378, 5569, 47111 is 1.

Highest Common Factor of 7378,5569,47111 using Euclid's algorithm

Highest Common Factor of 7378,5569,47111 is 1

Step 1: Since 7378 > 5569, we apply the division lemma to 7378 and 5569, to get

7378 = 5569 x 1 + 1809

Step 2: Since the reminder 5569 ≠ 0, we apply division lemma to 1809 and 5569, to get

5569 = 1809 x 3 + 142

Step 3: We consider the new divisor 1809 and the new remainder 142, and apply the division lemma to get

1809 = 142 x 12 + 105

We consider the new divisor 142 and the new remainder 105,and apply the division lemma to get

142 = 105 x 1 + 37

We consider the new divisor 105 and the new remainder 37,and apply the division lemma to get

105 = 37 x 2 + 31

We consider the new divisor 37 and the new remainder 31,and apply the division lemma to get

37 = 31 x 1 + 6

We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get

31 = 6 x 5 + 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 7378 and 5569 is 1

Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(37,31) = HCF(105,37) = HCF(142,105) = HCF(1809,142) = HCF(5569,1809) = HCF(7378,5569) .

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

Step 1: Since 47111 > 1, we apply the division lemma to 47111 and 1, to get

47111 = 1 x 47111 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47111 is 1

Notice that 1 = HCF(47111,1) .

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Frequently Asked Questions on HCF of 7378, 5569, 47111 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 7378, 5569, 47111?

Answer: HCF of 7378, 5569, 47111 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7378, 5569, 47111 using Euclid's Algorithm?

Answer: For arbitrary numbers 7378, 5569, 47111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.