Highest Common Factor of 652, 397, 545, 308 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 652, 397, 545, 308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 652, 397, 545, 308 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 652, 397, 545, 308 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 652, 397, 545, 308 is 1.

HCF(652, 397, 545, 308) = 1

HCF of 652, 397, 545, 308 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 652, 397, 545, 308 is 1.

Highest Common Factor of 652,397,545,308 using Euclid's algorithm

Highest Common Factor of 652,397,545,308 is 1

Step 1: Since 652 > 397, we apply the division lemma to 652 and 397, to get

652 = 397 x 1 + 255

Step 2: Since the reminder 397 ≠ 0, we apply division lemma to 255 and 397, to get

397 = 255 x 1 + 142

Step 3: We consider the new divisor 255 and the new remainder 142, and apply the division lemma to get

255 = 142 x 1 + 113

We consider the new divisor 142 and the new remainder 113,and apply the division lemma to get

142 = 113 x 1 + 29

We consider the new divisor 113 and the new remainder 29,and apply the division lemma to get

113 = 29 x 3 + 26

We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get

29 = 26 x 1 + 3

We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get

26 = 3 x 8 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 652 and 397 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(113,29) = HCF(142,113) = HCF(255,142) = HCF(397,255) = HCF(652,397) .

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

Step 1: Since 545 > 1, we apply the division lemma to 545 and 1, to get

545 = 1 x 545 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 545 is 1

Notice that 1 = HCF(545,1) .

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

Step 1: Since 308 > 1, we apply the division lemma to 308 and 1, to get

308 = 1 x 308 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 308 is 1

Notice that 1 = HCF(308,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 652, 397, 545, 308 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 652, 397, 545, 308?

Answer: HCF of 652, 397, 545, 308 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 652, 397, 545, 308 using Euclid's Algorithm?

Answer: For arbitrary numbers 652, 397, 545, 308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.