Highest Common Factor of 512, 5925 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 512, 5925 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 512, 5925 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 512, 5925 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 512, 5925 is 1.
HCF(512, 5925) = 1
HCF of 512, 5925 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 512, 5925 is 1.
Highest Common Factor of 512,5925 is 1
Step 1: Since 5925 > 512, we apply the division lemma to 5925 and 512, to get
5925 = 512 x 11 + 293
Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 293 and 512, to get
512 = 293 x 1 + 219
Step 3: We consider the new divisor 293 and the new remainder 219, and apply the division lemma to get
293 = 219 x 1 + 74
We consider the new divisor 219 and the new remainder 74,and apply the division lemma to get
219 = 74 x 2 + 71
We consider the new divisor 74 and the new remainder 71,and apply the division lemma to get
74 = 71 x 1 + 3
We consider the new divisor 71 and the new remainder 3,and apply the division lemma to get
71 = 3 x 23 + 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 512 and 5925 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(71,3) = HCF(74,71) = HCF(219,74) = HCF(293,219) = HCF(512,293) = HCF(5925,512) .
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Frequently Asked Questions on HCF of 512, 5925 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 512, 5925?
Answer: HCF of 512, 5925 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 512, 5925 using Euclid's Algorithm?
Answer: For arbitrary numbers 512, 5925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.