Highest Common Factor of 541, 922, 680 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 541, 922, 680 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 541, 922, 680 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 541, 922, 680 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 541, 922, 680 is 1.

HCF(541, 922, 680) = 1

HCF of 541, 922, 680 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 541, 922, 680 is 1.

Highest Common Factor of 541,922,680 using Euclid's algorithm

Highest Common Factor of 541,922,680 is 1

Step 1: Since 922 > 541, we apply the division lemma to 922 and 541, to get

922 = 541 x 1 + 381

Step 2: Since the reminder 541 ≠ 0, we apply division lemma to 381 and 541, to get

541 = 381 x 1 + 160

Step 3: We consider the new divisor 381 and the new remainder 160, and apply the division lemma to get

381 = 160 x 2 + 61

We consider the new divisor 160 and the new remainder 61,and apply the division lemma to get

160 = 61 x 2 + 38

We consider the new divisor 61 and the new remainder 38,and apply the division lemma to get

61 = 38 x 1 + 23

We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get

38 = 23 x 1 + 15

We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get

23 = 15 x 1 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 541 and 922 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(61,38) = HCF(160,61) = HCF(381,160) = HCF(541,381) = HCF(922,541) .

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

Step 1: Since 680 > 1, we apply the division lemma to 680 and 1, to get

680 = 1 x 680 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 680 is 1

Notice that 1 = HCF(680,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 541, 922, 680 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 541, 922, 680?

Answer: HCF of 541, 922, 680 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 541, 922, 680 using Euclid's Algorithm?

Answer: For arbitrary numbers 541, 922, 680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.