Highest Common Factor of 442, 639, 670, 343 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 442, 639, 670, 343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 442, 639, 670, 343 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 442, 639, 670, 343 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 442, 639, 670, 343 is 1.

HCF(442, 639, 670, 343) = 1

HCF of 442, 639, 670, 343 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 442, 639, 670, 343 is 1.

Highest Common Factor of 442,639,670,343 using Euclid's algorithm

Highest Common Factor of 442,639,670,343 is 1

Step 1: Since 639 > 442, we apply the division lemma to 639 and 442, to get

639 = 442 x 1 + 197

Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 197 and 442, to get

442 = 197 x 2 + 48

Step 3: We consider the new divisor 197 and the new remainder 48, and apply the division lemma to get

197 = 48 x 4 + 5

We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get

48 = 5 x 9 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 442 and 639 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(197,48) = HCF(442,197) = HCF(639,442) .

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

Step 1: Since 670 > 1, we apply the division lemma to 670 and 1, to get

670 = 1 x 670 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 670 is 1

Notice that 1 = HCF(670,1) .

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

Step 1: Since 343 > 1, we apply the division lemma to 343 and 1, to get

343 = 1 x 343 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 343 is 1

Notice that 1 = HCF(343,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 442, 639, 670, 343 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 442, 639, 670, 343?

Answer: HCF of 442, 639, 670, 343 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 442, 639, 670, 343 using Euclid's Algorithm?

Answer: For arbitrary numbers 442, 639, 670, 343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.