Highest Common Factor of 674, 433, 555 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 674, 433, 555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 674, 433, 555 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 674, 433, 555 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 674, 433, 555 is 1.

HCF(674, 433, 555) = 1

HCF of 674, 433, 555 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 674, 433, 555 is 1.

Highest Common Factor of 674,433,555 using Euclid's algorithm

Highest Common Factor of 674,433,555 is 1

Step 1: Since 674 > 433, we apply the division lemma to 674 and 433, to get

674 = 433 x 1 + 241

Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 241 and 433, to get

433 = 241 x 1 + 192

Step 3: We consider the new divisor 241 and the new remainder 192, and apply the division lemma to get

241 = 192 x 1 + 49

We consider the new divisor 192 and the new remainder 49,and apply the division lemma to get

192 = 49 x 3 + 45

We consider the new divisor 49 and the new remainder 45,and apply the division lemma to get

49 = 45 x 1 + 4

We consider the new divisor 45 and the new remainder 4,and apply the division lemma to get

45 = 4 x 11 + 1

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 674 and 433 is 1

Notice that 1 = HCF(4,1) = HCF(45,4) = HCF(49,45) = HCF(192,49) = HCF(241,192) = HCF(433,241) = HCF(674,433) .

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) .

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Frequently Asked Questions on HCF of 674, 433, 555 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 674, 433, 555?

Answer: HCF of 674, 433, 555 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 674, 433, 555 using Euclid's Algorithm?

Answer: For arbitrary numbers 674, 433, 555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.