Highest Common Factor of 816, 544, 256 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 816, 544, 256 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 816, 544, 256 is 16 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 816, 544, 256 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 816, 544, 256 is 16.
HCF(816, 544, 256) = 16
HCF of 816, 544, 256 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 816, 544, 256 is 16.
Highest Common Factor of 816,544,256 is 16
Step 1: Since 816 > 544, we apply the division lemma to 816 and 544, to get
816 = 544 x 1 + 272
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 272 and 544, to get
544 = 272 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 272, the HCF of 816 and 544 is 272
Notice that 272 = HCF(544,272) = HCF(816,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 272 > 256, we apply the division lemma to 272 and 256, to get
272 = 256 x 1 + 16
Step 2: Since the reminder 256 ≠ 0, we apply division lemma to 16 and 256, to get
256 = 16 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 272 and 256 is 16
Notice that 16 = HCF(256,16) = HCF(272,256) .
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Frequently Asked Questions on HCF of 816, 544, 256 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 816, 544, 256?
Answer: HCF of 816, 544, 256 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 816, 544, 256 using Euclid's Algorithm?
Answer: For arbitrary numbers 816, 544, 256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.