Highest Common Factor of 3530, 6383, 78294 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 3530, 6383, 78294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3530, 6383, 78294 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 3530, 6383, 78294 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 3530, 6383, 78294 is 1.

HCF(3530, 6383, 78294) = 1

HCF of 3530, 6383, 78294 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 3530, 6383, 78294 is 1.

Highest Common Factor of 3530,6383,78294 using Euclid's algorithm

Highest Common Factor of 3530,6383,78294 is 1

Step 1: Since 6383 > 3530, we apply the division lemma to 6383 and 3530, to get

6383 = 3530 x 1 + 2853

Step 2: Since the reminder 3530 ≠ 0, we apply division lemma to 2853 and 3530, to get

3530 = 2853 x 1 + 677

Step 3: We consider the new divisor 2853 and the new remainder 677, and apply the division lemma to get

2853 = 677 x 4 + 145

We consider the new divisor 677 and the new remainder 145,and apply the division lemma to get

677 = 145 x 4 + 97

We consider the new divisor 145 and the new remainder 97,and apply the division lemma to get

145 = 97 x 1 + 48

We consider the new divisor 97 and the new remainder 48,and apply the division lemma to get

97 = 48 x 2 + 1

We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get

48 = 1 x 48 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3530 and 6383 is 1

Notice that 1 = HCF(48,1) = HCF(97,48) = HCF(145,97) = HCF(677,145) = HCF(2853,677) = HCF(3530,2853) = HCF(6383,3530) .

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

Step 1: Since 78294 > 1, we apply the division lemma to 78294 and 1, to get

78294 = 1 x 78294 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78294 is 1

Notice that 1 = HCF(78294,1) .

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Frequently Asked Questions on HCF of 3530, 6383, 78294 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 3530, 6383, 78294?

Answer: HCF of 3530, 6383, 78294 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3530, 6383, 78294 using Euclid's Algorithm?

Answer: For arbitrary numbers 3530, 6383, 78294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.