Highest Common Factor of 888, 524 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 888, 524 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 888, 524 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 888, 524 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 888, 524 is 4.
HCF(888, 524) = 4
HCF of 888, 524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 888, 524 is 4.
Highest Common Factor of 888,524 is 4
Step 1: Since 888 > 524, we apply the division lemma to 888 and 524, to get
888 = 524 x 1 + 364
Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 364 and 524, to get
524 = 364 x 1 + 160
Step 3: We consider the new divisor 364 and the new remainder 160, and apply the division lemma to get
364 = 160 x 2 + 44
We consider the new divisor 160 and the new remainder 44,and apply the division lemma to get
160 = 44 x 3 + 28
We consider the new divisor 44 and the new remainder 28,and apply the division lemma to get
44 = 28 x 1 + 16
We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get
28 = 16 x 1 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 888 and 524 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(44,28) = HCF(160,44) = HCF(364,160) = HCF(524,364) = HCF(888,524) .
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Frequently Asked Questions on HCF of 888, 524 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 888, 524?
Answer: HCF of 888, 524 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 888, 524 using Euclid's Algorithm?
Answer: For arbitrary numbers 888, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.