Highest Common Factor of 4475, 3349, 91516 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 4475, 3349, 91516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4475, 3349, 91516 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 4475, 3349, 91516 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 4475, 3349, 91516 is 1.

HCF(4475, 3349, 91516) = 1

HCF of 4475, 3349, 91516 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 4475, 3349, 91516 is 1.

Highest Common Factor of 4475,3349,91516 using Euclid's algorithm

Highest Common Factor of 4475,3349,91516 is 1

Step 1: Since 4475 > 3349, we apply the division lemma to 4475 and 3349, to get

4475 = 3349 x 1 + 1126

Step 2: Since the reminder 3349 ≠ 0, we apply division lemma to 1126 and 3349, to get

3349 = 1126 x 2 + 1097

Step 3: We consider the new divisor 1126 and the new remainder 1097, and apply the division lemma to get

1126 = 1097 x 1 + 29

We consider the new divisor 1097 and the new remainder 29,and apply the division lemma to get

1097 = 29 x 37 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4475 and 3349 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(1097,29) = HCF(1126,1097) = HCF(3349,1126) = HCF(4475,3349) .

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

Step 1: Since 91516 > 1, we apply the division lemma to 91516 and 1, to get

91516 = 1 x 91516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91516 is 1

Notice that 1 = HCF(91516,1) .

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Frequently Asked Questions on HCF of 4475, 3349, 91516 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 4475, 3349, 91516?

Answer: HCF of 4475, 3349, 91516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4475, 3349, 91516 using Euclid's Algorithm?

Answer: For arbitrary numbers 4475, 3349, 91516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.