Highest Common Factor of 838, 533, 316, 763 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 838, 533, 316, 763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 838, 533, 316, 763 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 838, 533, 316, 763 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 838, 533, 316, 763 is 1.

HCF(838, 533, 316, 763) = 1

HCF of 838, 533, 316, 763 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 838, 533, 316, 763 is 1.

Highest Common Factor of 838,533,316,763 using Euclid's algorithm

Highest Common Factor of 838,533,316,763 is 1

Step 1: Since 838 > 533, we apply the division lemma to 838 and 533, to get

838 = 533 x 1 + 305

Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 305 and 533, to get

533 = 305 x 1 + 228

Step 3: We consider the new divisor 305 and the new remainder 228, and apply the division lemma to get

305 = 228 x 1 + 77

We consider the new divisor 228 and the new remainder 77,and apply the division lemma to get

228 = 77 x 2 + 74

We consider the new divisor 77 and the new remainder 74,and apply the division lemma to get

77 = 74 x 1 + 3

We consider the new divisor 74 and the new remainder 3,and apply the division lemma to get

74 = 3 x 24 + 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 838 and 533 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(74,3) = HCF(77,74) = HCF(228,77) = HCF(305,228) = HCF(533,305) = HCF(838,533) .

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

Step 1: Since 316 > 1, we apply the division lemma to 316 and 1, to get

316 = 1 x 316 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 316 is 1

Notice that 1 = HCF(316,1) .

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

Step 1: Since 763 > 1, we apply the division lemma to 763 and 1, to get

763 = 1 x 763 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 763 is 1

Notice that 1 = HCF(763,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 838, 533, 316, 763 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 838, 533, 316, 763?

Answer: HCF of 838, 533, 316, 763 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 838, 533, 316, 763 using Euclid's Algorithm?

Answer: For arbitrary numbers 838, 533, 316, 763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.