Highest Common Factor of 674, 907, 366 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, 907, 366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 674, 907, 366 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, 907, 366 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, 907, 366 is 1.

HCF(674, 907, 366) = 1

HCF of 674, 907, 366 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, 907, 366 is 1.

Highest Common Factor of 674,907,366 using Euclid's algorithm

Highest Common Factor of 674,907,366 is 1

Step 1: Since 907 > 674, we apply the division lemma to 907 and 674, to get

907 = 674 x 1 + 233

Step 2: Since the reminder 674 ≠ 0, we apply division lemma to 233 and 674, to get

674 = 233 x 2 + 208

Step 3: We consider the new divisor 233 and the new remainder 208, and apply the division lemma to get

233 = 208 x 1 + 25

We consider the new divisor 208 and the new remainder 25,and apply the division lemma to get

208 = 25 x 8 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 674 and 907 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(208,25) = HCF(233,208) = HCF(674,233) = HCF(907,674) .

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

Step 1: Since 366 > 1, we apply the division lemma to 366 and 1, to get

366 = 1 x 366 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 366 is 1

Notice that 1 = HCF(366,1) .

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Frequently Asked Questions on HCF of 674, 907, 366 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, 907, 366?

Answer: HCF of 674, 907, 366 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 674, 907, 366 using Euclid's Algorithm?

Answer: For arbitrary numbers 674, 907, 366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.