Highest Common Factor of 5406, 3269, 60975 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 5406, 3269, 60975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5406, 3269, 60975 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 5406, 3269, 60975 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 5406, 3269, 60975 is 1.

HCF(5406, 3269, 60975) = 1

HCF of 5406, 3269, 60975 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 5406, 3269, 60975 is 1.

Highest Common Factor of 5406,3269,60975 using Euclid's algorithm

Highest Common Factor of 5406,3269,60975 is 1

Step 1: Since 5406 > 3269, we apply the division lemma to 5406 and 3269, to get

5406 = 3269 x 1 + 2137

Step 2: Since the reminder 3269 ≠ 0, we apply division lemma to 2137 and 3269, to get

3269 = 2137 x 1 + 1132

Step 3: We consider the new divisor 2137 and the new remainder 1132, and apply the division lemma to get

2137 = 1132 x 1 + 1005

We consider the new divisor 1132 and the new remainder 1005,and apply the division lemma to get

1132 = 1005 x 1 + 127

We consider the new divisor 1005 and the new remainder 127,and apply the division lemma to get

1005 = 127 x 7 + 116

We consider the new divisor 127 and the new remainder 116,and apply the division lemma to get

127 = 116 x 1 + 11

We consider the new divisor 116 and the new remainder 11,and apply the division lemma to get

116 = 11 x 10 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5406 and 3269 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(116,11) = HCF(127,116) = HCF(1005,127) = HCF(1132,1005) = HCF(2137,1132) = HCF(3269,2137) = HCF(5406,3269) .

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

Step 1: Since 60975 > 1, we apply the division lemma to 60975 and 1, to get

60975 = 1 x 60975 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 60975 is 1

Notice that 1 = HCF(60975,1) .

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Frequently Asked Questions on HCF of 5406, 3269, 60975 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 5406, 3269, 60975?

Answer: HCF of 5406, 3269, 60975 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5406, 3269, 60975 using Euclid's Algorithm?

Answer: For arbitrary numbers 5406, 3269, 60975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.