Highest Common Factor of 828, 544, 320 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 828, 544, 320 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 828, 544, 320 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 828, 544, 320 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 828, 544, 320 is 4.
HCF(828, 544, 320) = 4
HCF of 828, 544, 320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 828, 544, 320 is 4.
Highest Common Factor of 828,544,320 is 4
Step 1: Since 828 > 544, we apply the division lemma to 828 and 544, to get
828 = 544 x 1 + 284
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 284 and 544, to get
544 = 284 x 1 + 260
Step 3: We consider the new divisor 284 and the new remainder 260, and apply the division lemma to get
284 = 260 x 1 + 24
We consider the new divisor 260 and the new remainder 24,and apply the division lemma to get
260 = 24 x 10 + 20
We consider the new divisor 24 and the new remainder 20,and apply the division lemma to get
24 = 20 x 1 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 828 and 544 is 4
Notice that 4 = HCF(20,4) = HCF(24,20) = HCF(260,24) = HCF(284,260) = HCF(544,284) = HCF(828,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 320 > 4, we apply the division lemma to 320 and 4, to get
320 = 4 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 320 is 4
Notice that 4 = HCF(320,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 828, 544, 320 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 828, 544, 320?
Answer: HCF of 828, 544, 320 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 828, 544, 320 using Euclid's Algorithm?
Answer: For arbitrary numbers 828, 544, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.