Highest Common Factor of 2898, 8883 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 2898, 8883 i.e. 63 the largest integer that leaves a remainder zero for all numbers.
HCF of 2898, 8883 is 63 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 2898, 8883 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 2898, 8883 is 63.
HCF(2898, 8883) = 63
HCF of 2898, 8883 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2898, 8883 is 63.
Highest Common Factor of 2898,8883 is 63
Step 1: Since 8883 > 2898, we apply the division lemma to 8883 and 2898, to get
8883 = 2898 x 3 + 189
Step 2: Since the reminder 2898 ≠ 0, we apply division lemma to 189 and 2898, to get
2898 = 189 x 15 + 63
Step 3: We consider the new divisor 189 and the new remainder 63, and apply the division lemma to get
189 = 63 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 63, the HCF of 2898 and 8883 is 63
Notice that 63 = HCF(189,63) = HCF(2898,189) = HCF(8883,2898) .
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Frequently Asked Questions on HCF of 2898, 8883 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 2898, 8883?
Answer: HCF of 2898, 8883 is 63 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2898, 8883 using Euclid's Algorithm?
Answer: For arbitrary numbers 2898, 8883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.