Highest Common Factor of 457, 775, 674 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 457, 775, 674 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 457, 775, 674 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 457, 775, 674 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 457, 775, 674 is 1.

HCF(457, 775, 674) = 1

HCF of 457, 775, 674 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 457, 775, 674 is 1.

Highest Common Factor of 457,775,674 using Euclid's algorithm

Highest Common Factor of 457,775,674 is 1

Step 1: Since 775 > 457, we apply the division lemma to 775 and 457, to get

775 = 457 x 1 + 318

Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 318 and 457, to get

457 = 318 x 1 + 139

Step 3: We consider the new divisor 318 and the new remainder 139, and apply the division lemma to get

318 = 139 x 2 + 40

We consider the new divisor 139 and the new remainder 40,and apply the division lemma to get

139 = 40 x 3 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 457 and 775 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(139,40) = HCF(318,139) = HCF(457,318) = HCF(775,457) .

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

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

674 = 1 x 674 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1

Notice that 1 = HCF(674,1) .

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Frequently Asked Questions on HCF of 457, 775, 674 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 457, 775, 674?

Answer: HCF of 457, 775, 674 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 457, 775, 674 using Euclid's Algorithm?

Answer: For arbitrary numbers 457, 775, 674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.