Highest Common Factor of 909, 3280, 7354 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 909, 3280, 7354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 909, 3280, 7354 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 909, 3280, 7354 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 909, 3280, 7354 is 1.

HCF(909, 3280, 7354) = 1

HCF of 909, 3280, 7354 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 909, 3280, 7354 is 1.

Highest Common Factor of 909,3280,7354 using Euclid's algorithm

Highest Common Factor of 909,3280,7354 is 1

Step 1: Since 3280 > 909, we apply the division lemma to 3280 and 909, to get

3280 = 909 x 3 + 553

Step 2: Since the reminder 909 ≠ 0, we apply division lemma to 553 and 909, to get

909 = 553 x 1 + 356

Step 3: We consider the new divisor 553 and the new remainder 356, and apply the division lemma to get

553 = 356 x 1 + 197

We consider the new divisor 356 and the new remainder 197,and apply the division lemma to get

356 = 197 x 1 + 159

We consider the new divisor 197 and the new remainder 159,and apply the division lemma to get

197 = 159 x 1 + 38

We consider the new divisor 159 and the new remainder 38,and apply the division lemma to get

159 = 38 x 4 + 7

We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get

38 = 7 x 5 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 909 and 3280 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(159,38) = HCF(197,159) = HCF(356,197) = HCF(553,356) = HCF(909,553) = HCF(3280,909) .

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

Step 1: Since 7354 > 1, we apply the division lemma to 7354 and 1, to get

7354 = 1 x 7354 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7354 is 1

Notice that 1 = HCF(7354,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 909, 3280, 7354 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 909, 3280, 7354?

Answer: HCF of 909, 3280, 7354 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 909, 3280, 7354 using Euclid's Algorithm?

Answer: For arbitrary numbers 909, 3280, 7354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.