Highest Common Factor of 337, 615, 954 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 337, 615, 954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 337, 615, 954 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 337, 615, 954 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 337, 615, 954 is 1.

HCF(337, 615, 954) = 1

HCF of 337, 615, 954 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 337, 615, 954 is 1.

Highest Common Factor of 337,615,954 using Euclid's algorithm

Highest Common Factor of 337,615,954 is 1

Step 1: Since 615 > 337, we apply the division lemma to 615 and 337, to get

615 = 337 x 1 + 278

Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 278 and 337, to get

337 = 278 x 1 + 59

Step 3: We consider the new divisor 278 and the new remainder 59, and apply the division lemma to get

278 = 59 x 4 + 42

We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get

59 = 42 x 1 + 17

We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get

42 = 17 x 2 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 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 337 and 615 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(278,59) = HCF(337,278) = HCF(615,337) .

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

Step 1: Since 954 > 1, we apply the division lemma to 954 and 1, to get

954 = 1 x 954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 954 is 1

Notice that 1 = HCF(954,1) .

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Frequently Asked Questions on HCF of 337, 615, 954 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 337, 615, 954?

Answer: HCF of 337, 615, 954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 337, 615, 954 using Euclid's Algorithm?

Answer: For arbitrary numbers 337, 615, 954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.