Highest Common Factor of 750, 491, 387, 714 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 750, 491, 387, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 750, 491, 387, 714 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 750, 491, 387, 714 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 750, 491, 387, 714 is 1.

HCF(750, 491, 387, 714) = 1

HCF of 750, 491, 387, 714 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 750, 491, 387, 714 is 1.

Highest Common Factor of 750,491,387,714 using Euclid's algorithm

Highest Common Factor of 750,491,387,714 is 1

Step 1: Since 750 > 491, we apply the division lemma to 750 and 491, to get

750 = 491 x 1 + 259

Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 259 and 491, to get

491 = 259 x 1 + 232

Step 3: We consider the new divisor 259 and the new remainder 232, and apply the division lemma to get

259 = 232 x 1 + 27

We consider the new divisor 232 and the new remainder 27,and apply the division lemma to get

232 = 27 x 8 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 750 and 491 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(232,27) = HCF(259,232) = HCF(491,259) = HCF(750,491) .

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

Step 1: Since 387 > 1, we apply the division lemma to 387 and 1, to get

387 = 1 x 387 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 387 is 1

Notice that 1 = HCF(387,1) .

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

Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get

714 = 1 x 714 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1

Notice that 1 = HCF(714,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 750, 491, 387, 714 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 750, 491, 387, 714?

Answer: HCF of 750, 491, 387, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 750, 491, 387, 714 using Euclid's Algorithm?

Answer: For arbitrary numbers 750, 491, 387, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.