Highest Common Factor of 884, 90768 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 884, 90768 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 90768 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 884, 90768 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 884, 90768 is 4.
HCF(884, 90768) = 4
HCF of 884, 90768 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 90768 is 4.
Highest Common Factor of 884,90768 is 4
Step 1: Since 90768 > 884, we apply the division lemma to 90768 and 884, to get
90768 = 884 x 102 + 600
Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 600 and 884, to get
884 = 600 x 1 + 284
Step 3: We consider the new divisor 600 and the new remainder 284, and apply the division lemma to get
600 = 284 x 2 + 32
We consider the new divisor 284 and the new remainder 32,and apply the division lemma to get
284 = 32 x 8 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 884 and 90768 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(284,32) = HCF(600,284) = HCF(884,600) = HCF(90768,884) .
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Frequently Asked Questions on HCF of 884, 90768 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 884, 90768?
Answer: HCF of 884, 90768 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 90768 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 90768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.