Highest Common Factor of 800, 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 800, 528 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 800, 528 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 800, 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 800, 528 is 16.
HCF(800, 528) = 16
HCF of 800, 528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 800, 528 is 16.
Highest Common Factor of 800,528 is 16
Step 1: Since 800 > 528, we apply the division lemma to 800 and 528, to get
800 = 528 x 1 + 272
Step 2: Since the reminder 528 ≠ 0, we apply division lemma to 272 and 528, to get
528 = 272 x 1 + 256
Step 3: We consider the new divisor 272 and the new remainder 256, and apply the division lemma to get
272 = 256 x 1 + 16
We consider the new divisor 256 and the new remainder 16, and apply the division lemma 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 800 and 528 is 16
Notice that 16 = HCF(256,16) = HCF(272,256) = HCF(528,272) = HCF(800,528) .
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Frequently Asked Questions on HCF of 800, 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 800, 528?
Answer: HCF of 800, 528 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 800, 528 using Euclid's Algorithm?
Answer: For arbitrary numbers 800, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.