Highest Common Factor of 884, 9993 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, 9993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 9993 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 884, 9993 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, 9993 is 1.
HCF(884, 9993) = 1
HCF of 884, 9993 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, 9993 is 1.
Highest Common Factor of 884,9993 is 1
Step 1: Since 9993 > 884, we apply the division lemma to 9993 and 884, to get
9993 = 884 x 11 + 269
Step 2: Since the reminder 884 ≠ 0, we apply division lemma to 269 and 884, to get
884 = 269 x 3 + 77
Step 3: We consider the new divisor 269 and the new remainder 77, and apply the division lemma to get
269 = 77 x 3 + 38
We consider the new divisor 77 and the new remainder 38,and apply the division lemma to get
77 = 38 x 2 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 884 and 9993 is 1
Notice that 1 = HCF(38,1) = HCF(77,38) = HCF(269,77) = HCF(884,269) = HCF(9993,884) .
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Frequently Asked Questions on HCF of 884, 9993 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, 9993?
Answer: HCF of 884, 9993 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 9993 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 9993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.