Highest Common Factor of 452, 709, 377 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 452, 709, 377 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 452, 709, 377 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 452, 709, 377 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 452, 709, 377 is 1.

HCF(452, 709, 377) = 1

HCF of 452, 709, 377 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 452, 709, 377 is 1.

Highest Common Factor of 452,709,377 using Euclid's algorithm

Highest Common Factor of 452,709,377 is 1

Step 1: Since 709 > 452, we apply the division lemma to 709 and 452, to get

709 = 452 x 1 + 257

Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 257 and 452, to get

452 = 257 x 1 + 195

Step 3: We consider the new divisor 257 and the new remainder 195, and apply the division lemma to get

257 = 195 x 1 + 62

We consider the new divisor 195 and the new remainder 62,and apply the division lemma to get

195 = 62 x 3 + 9

We consider the new divisor 62 and the new remainder 9,and apply the division lemma to get

62 = 9 x 6 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 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 452 and 709 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(62,9) = HCF(195,62) = HCF(257,195) = HCF(452,257) = HCF(709,452) .

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

Step 1: Since 377 > 1, we apply the division lemma to 377 and 1, to get

377 = 1 x 377 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 377 is 1

Notice that 1 = HCF(377,1) .

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Frequently Asked Questions on HCF of 452, 709, 377 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 452, 709, 377?

Answer: HCF of 452, 709, 377 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 452, 709, 377 using Euclid's Algorithm?

Answer: For arbitrary numbers 452, 709, 377 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.