Highest Common Factor of 446, 313, 555, 357 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 446, 313, 555, 357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 446, 313, 555, 357 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 446, 313, 555, 357 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 446, 313, 555, 357 is 1.

HCF(446, 313, 555, 357) = 1

HCF of 446, 313, 555, 357 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 446, 313, 555, 357 is 1.

Highest Common Factor of 446,313,555,357 using Euclid's algorithm

Highest Common Factor of 446,313,555,357 is 1

Step 1: Since 446 > 313, we apply the division lemma to 446 and 313, to get

446 = 313 x 1 + 133

Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 133 and 313, to get

313 = 133 x 2 + 47

Step 3: We consider the new divisor 133 and the new remainder 47, and apply the division lemma to get

133 = 47 x 2 + 39

We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get

47 = 39 x 1 + 8

We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get

39 = 8 x 4 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 446 and 313 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(133,47) = HCF(313,133) = HCF(446,313) .

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

Step 1: Since 555 > 1, we apply the division lemma to 555 and 1, to get

555 = 1 x 555 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 555 is 1

Notice that 1 = HCF(555,1) .

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

Step 1: Since 357 > 1, we apply the division lemma to 357 and 1, to get

357 = 1 x 357 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 357 is 1

Notice that 1 = HCF(357,1) .

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Frequently Asked Questions on HCF of 446, 313, 555, 357 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 446, 313, 555, 357?

Answer: HCF of 446, 313, 555, 357 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 446, 313, 555, 357 using Euclid's Algorithm?

Answer: For arbitrary numbers 446, 313, 555, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.