Highest Common Factor of 705, 985, 439 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 705, 985, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 705, 985, 439 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 705, 985, 439 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 705, 985, 439 is 1.

HCF(705, 985, 439) = 1

HCF of 705, 985, 439 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 705, 985, 439 is 1.

Highest Common Factor of 705,985,439 using Euclid's algorithm

Highest Common Factor of 705,985,439 is 1

Step 1: Since 985 > 705, we apply the division lemma to 985 and 705, to get

985 = 705 x 1 + 280

Step 2: Since the reminder 705 ≠ 0, we apply division lemma to 280 and 705, to get

705 = 280 x 2 + 145

Step 3: We consider the new divisor 280 and the new remainder 145, and apply the division lemma to get

280 = 145 x 1 + 135

We consider the new divisor 145 and the new remainder 135,and apply the division lemma to get

145 = 135 x 1 + 10

We consider the new divisor 135 and the new remainder 10,and apply the division lemma to get

135 = 10 x 13 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 705 and 985 is 5

Notice that 5 = HCF(10,5) = HCF(135,10) = HCF(145,135) = HCF(280,145) = HCF(705,280) = HCF(985,705) .

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

Step 1: Since 439 > 5, we apply the division lemma to 439 and 5, to get

439 = 5 x 87 + 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 439 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(439,5) .

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Frequently Asked Questions on HCF of 705, 985, 439 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 705, 985, 439?

Answer: HCF of 705, 985, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 705, 985, 439 using Euclid's Algorithm?

Answer: For arbitrary numbers 705, 985, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.