Highest Common Factor of 104, 286, 753 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 104, 286, 753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 104, 286, 753 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 104, 286, 753 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 104, 286, 753 is 1.

HCF(104, 286, 753) = 1

HCF of 104, 286, 753 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 104, 286, 753 is 1.

Highest Common Factor of 104,286,753 using Euclid's algorithm

Highest Common Factor of 104,286,753 is 1

Step 1: Since 286 > 104, we apply the division lemma to 286 and 104, to get

286 = 104 x 2 + 78

Step 2: Since the reminder 104 ≠ 0, we apply division lemma to 78 and 104, to get

104 = 78 x 1 + 26

Step 3: We consider the new divisor 78 and the new remainder 26, and apply the division lemma to get

78 = 26 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 104 and 286 is 26

Notice that 26 = HCF(78,26) = HCF(104,78) = HCF(286,104) .

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

Step 1: Since 753 > 26, we apply the division lemma to 753 and 26, to get

753 = 26 x 28 + 25

Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 25 and 26, to get

26 = 25 x 1 + 1

Step 3: We consider the new divisor 25 and the new remainder 1, and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 26 and 753 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(753,26) .

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Frequently Asked Questions on HCF of 104, 286, 753 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 104, 286, 753?

Answer: HCF of 104, 286, 753 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 104, 286, 753 using Euclid's Algorithm?

Answer: For arbitrary numbers 104, 286, 753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.