Highest Common Factor of 512, 884 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, 884 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 512, 884 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 512, 884 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, 884 is 4.
HCF(512, 884) = 4
HCF of 512, 884 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, 884 is 4.
Highest Common Factor of 512,884 is 4
Step 1: Since 884 > 512, we apply the division lemma to 884 and 512, to get
884 = 512 x 1 + 372
Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 372 and 512, to get
512 = 372 x 1 + 140
Step 3: We consider the new divisor 372 and the new remainder 140, and apply the division lemma to get
372 = 140 x 2 + 92
We consider the new divisor 140 and the new remainder 92,and apply the division lemma to get
140 = 92 x 1 + 48
We consider the new divisor 92 and the new remainder 48,and apply the division lemma to get
92 = 48 x 1 + 44
We consider the new divisor 48 and the new remainder 44,and apply the division lemma to get
48 = 44 x 1 + 4
We consider the new divisor 44 and the new remainder 4,and apply the division lemma to get
44 = 4 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 512 and 884 is 4
Notice that 4 = HCF(44,4) = HCF(48,44) = HCF(92,48) = HCF(140,92) = HCF(372,140) = HCF(512,372) = HCF(884,512) .
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Frequently Asked Questions on HCF of 512, 884 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, 884?
Answer: HCF of 512, 884 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 512, 884 using Euclid's Algorithm?
Answer: For arbitrary numbers 512, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.