Highest Common Factor of 835, 304, 913, 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 835, 304, 913, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 835, 304, 913, 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 835, 304, 913, 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 835, 304, 913, 26 is 1.

HCF(835, 304, 913, 26) = 1

HCF of 835, 304, 913, 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 835, 304, 913, 26 is 1.

Highest Common Factor of 835,304,913,26 using Euclid's algorithm

Highest Common Factor of 835,304,913,26 is 1

Step 1: Since 835 > 304, we apply the division lemma to 835 and 304, to get

835 = 304 x 2 + 227

Step 2: Since the reminder 304 ≠ 0, we apply division lemma to 227 and 304, to get

304 = 227 x 1 + 77

Step 3: We consider the new divisor 227 and the new remainder 77, and apply the division lemma to get

227 = 77 x 2 + 73

We consider the new divisor 77 and the new remainder 73,and apply the division lemma to get

77 = 73 x 1 + 4

We consider the new divisor 73 and the new remainder 4,and apply the division lemma to get

73 = 4 x 18 + 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 835 and 304 is 1

Notice that 1 = HCF(4,1) = HCF(73,4) = HCF(77,73) = HCF(227,77) = HCF(304,227) = HCF(835,304) .

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

Step 1: Since 913 > 1, we apply the division lemma to 913 and 1, to get

913 = 1 x 913 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 913 is 1

Notice that 1 = HCF(913,1) .

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 835, 304, 913, 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 835, 304, 913, 26?

Answer: HCF of 835, 304, 913, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 835, 304, 913, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 835, 304, 913, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.