Highest Common Factor of 5435, 7655, 85219 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 5435, 7655, 85219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5435, 7655, 85219 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 5435, 7655, 85219 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 5435, 7655, 85219 is 1.

HCF(5435, 7655, 85219) = 1

HCF of 5435, 7655, 85219 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 5435, 7655, 85219 is 1.

Highest Common Factor of 5435,7655,85219 using Euclid's algorithm

Highest Common Factor of 5435,7655,85219 is 1

Step 1: Since 7655 > 5435, we apply the division lemma to 7655 and 5435, to get

7655 = 5435 x 1 + 2220

Step 2: Since the reminder 5435 ≠ 0, we apply division lemma to 2220 and 5435, to get

5435 = 2220 x 2 + 995

Step 3: We consider the new divisor 2220 and the new remainder 995, and apply the division lemma to get

2220 = 995 x 2 + 230

We consider the new divisor 995 and the new remainder 230,and apply the division lemma to get

995 = 230 x 4 + 75

We consider the new divisor 230 and the new remainder 75,and apply the division lemma to get

230 = 75 x 3 + 5

We consider the new divisor 75 and the new remainder 5,and apply the division lemma to get

75 = 5 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5435 and 7655 is 5

Notice that 5 = HCF(75,5) = HCF(230,75) = HCF(995,230) = HCF(2220,995) = HCF(5435,2220) = HCF(7655,5435) .

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

Step 1: Since 85219 > 5, we apply the division lemma to 85219 and 5, to get

85219 = 5 x 17043 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 85219 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(85219,5) .

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Frequently Asked Questions on HCF of 5435, 7655, 85219 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 5435, 7655, 85219?

Answer: HCF of 5435, 7655, 85219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5435, 7655, 85219 using Euclid's Algorithm?

Answer: For arbitrary numbers 5435, 7655, 85219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.