Highest Common Factor of 796, 300, 528 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 796, 300, 528 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 796, 300, 528 is 4 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 796, 300, 528 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 796, 300, 528 is 4.

HCF(796, 300, 528) = 4

HCF of 796, 300, 528 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 796, 300, 528 is 4.

Highest Common Factor of 796,300,528 using Euclid's algorithm

Highest Common Factor of 796,300,528 is 4

Step 1: Since 796 > 300, we apply the division lemma to 796 and 300, to get

796 = 300 x 2 + 196

Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 196 and 300, to get

300 = 196 x 1 + 104

Step 3: We consider the new divisor 196 and the new remainder 104, and apply the division lemma to get

196 = 104 x 1 + 92

We consider the new divisor 104 and the new remainder 92,and apply the division lemma to get

104 = 92 x 1 + 12

We consider the new divisor 92 and the new remainder 12,and apply the division lemma to get

92 = 12 x 7 + 8

We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get

12 = 8 x 1 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 796 and 300 is 4

Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(92,12) = HCF(104,92) = HCF(196,104) = HCF(300,196) = HCF(796,300) .

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

Step 1: Since 528 > 4, we apply the division lemma to 528 and 4, to get

528 = 4 x 132 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 528 is 4

Notice that 4 = HCF(528,4) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 796, 300, 528 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 796, 300, 528?

Answer: HCF of 796, 300, 528 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 796, 300, 528 using Euclid's Algorithm?

Answer: For arbitrary numbers 796, 300, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.