Highest Common Factor of 335, 947, 75 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 335, 947, 75 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 335, 947, 75 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 335, 947, 75 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 335, 947, 75 is 1.

HCF(335, 947, 75) = 1

HCF of 335, 947, 75 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 335, 947, 75 is 1.

Highest Common Factor of 335,947,75 using Euclid's algorithm

Highest Common Factor of 335,947,75 is 1

Step 1: Since 947 > 335, we apply the division lemma to 947 and 335, to get

947 = 335 x 2 + 277

Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 277 and 335, to get

335 = 277 x 1 + 58

Step 3: We consider the new divisor 277 and the new remainder 58, and apply the division lemma to get

277 = 58 x 4 + 45

We consider the new divisor 58 and the new remainder 45,and apply the division lemma to get

58 = 45 x 1 + 13

We consider the new divisor 45 and the new remainder 13,and apply the division lemma to get

45 = 13 x 3 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 335 and 947 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(45,13) = HCF(58,45) = HCF(277,58) = HCF(335,277) = HCF(947,335) .

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

Step 1: Since 75 > 1, we apply the division lemma to 75 and 1, to get

75 = 1 x 75 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75 is 1

Notice that 1 = HCF(75,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 335, 947, 75 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 335, 947, 75?

Answer: HCF of 335, 947, 75 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 335, 947, 75 using Euclid's Algorithm?

Answer: For arbitrary numbers 335, 947, 75 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.