Highest Common Factor of 435, 133, 279, 26 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 435, 133, 279, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 435, 133, 279, 26 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 435, 133, 279, 26 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 435, 133, 279, 26 is 1.

HCF(435, 133, 279, 26) = 1

HCF of 435, 133, 279, 26 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 435, 133, 279, 26 is 1.

Highest Common Factor of 435,133,279,26 using Euclid's algorithm

Highest Common Factor of 435,133,279,26 is 1

Step 1: Since 435 > 133, we apply the division lemma to 435 and 133, to get

435 = 133 x 3 + 36

Step 2: Since the reminder 133 ≠ 0, we apply division lemma to 36 and 133, to get

133 = 36 x 3 + 25

Step 3: We consider the new divisor 36 and the new remainder 25, and apply the division lemma to get

36 = 25 x 1 + 11

We consider the new divisor 25 and the new remainder 11,and apply the division lemma to get

25 = 11 x 2 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 435 and 133 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(25,11) = HCF(36,25) = HCF(133,36) = HCF(435,133) .

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

Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get

279 = 1 x 279 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1

Notice that 1 = HCF(279,1) .

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

Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1

Notice that 1 = HCF(26,1) .

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Frequently Asked Questions on HCF of 435, 133, 279, 26 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 435, 133, 279, 26?

Answer: HCF of 435, 133, 279, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 435, 133, 279, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 435, 133, 279, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.