Highest Common Factor of 5268, 3169, 13070 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 5268, 3169, 13070 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5268, 3169, 13070 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 5268, 3169, 13070 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 5268, 3169, 13070 is 1.

HCF(5268, 3169, 13070) = 1

HCF of 5268, 3169, 13070 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 5268, 3169, 13070 is 1.

Highest Common Factor of 5268,3169,13070 using Euclid's algorithm

Highest Common Factor of 5268,3169,13070 is 1

Step 1: Since 5268 > 3169, we apply the division lemma to 5268 and 3169, to get

5268 = 3169 x 1 + 2099

Step 2: Since the reminder 3169 ≠ 0, we apply division lemma to 2099 and 3169, to get

3169 = 2099 x 1 + 1070

Step 3: We consider the new divisor 2099 and the new remainder 1070, and apply the division lemma to get

2099 = 1070 x 1 + 1029

We consider the new divisor 1070 and the new remainder 1029,and apply the division lemma to get

1070 = 1029 x 1 + 41

We consider the new divisor 1029 and the new remainder 41,and apply the division lemma to get

1029 = 41 x 25 + 4

We consider the new divisor 41 and the new remainder 4,and apply the division lemma to get

41 = 4 x 10 + 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 5268 and 3169 is 1

Notice that 1 = HCF(4,1) = HCF(41,4) = HCF(1029,41) = HCF(1070,1029) = HCF(2099,1070) = HCF(3169,2099) = HCF(5268,3169) .

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

Step 1: Since 13070 > 1, we apply the division lemma to 13070 and 1, to get

13070 = 1 x 13070 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13070 is 1

Notice that 1 = HCF(13070,1) .

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Frequently Asked Questions on HCF of 5268, 3169, 13070 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 5268, 3169, 13070?

Answer: HCF of 5268, 3169, 13070 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5268, 3169, 13070 using Euclid's Algorithm?

Answer: For arbitrary numbers 5268, 3169, 13070 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.