Highest Common Factor of 9882, 2253 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 9882, 2253 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9882, 2253 is 3 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 9882, 2253 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 9882, 2253 is 3.
HCF(9882, 2253) = 3
HCF of 9882, 2253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9882, 2253 is 3.
Highest Common Factor of 9882,2253 is 3
Step 1: Since 9882 > 2253, we apply the division lemma to 9882 and 2253, to get
9882 = 2253 x 4 + 870
Step 2: Since the reminder 2253 ≠ 0, we apply division lemma to 870 and 2253, to get
2253 = 870 x 2 + 513
Step 3: We consider the new divisor 870 and the new remainder 513, and apply the division lemma to get
870 = 513 x 1 + 357
We consider the new divisor 513 and the new remainder 357,and apply the division lemma to get
513 = 357 x 1 + 156
We consider the new divisor 357 and the new remainder 156,and apply the division lemma to get
357 = 156 x 2 + 45
We consider the new divisor 156 and the new remainder 45,and apply the division lemma to get
156 = 45 x 3 + 21
We consider the new divisor 45 and the new remainder 21,and apply the division lemma to get
45 = 21 x 2 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9882 and 2253 is 3
Notice that 3 = HCF(21,3) = HCF(45,21) = HCF(156,45) = HCF(357,156) = HCF(513,357) = HCF(870,513) = HCF(2253,870) = HCF(9882,2253) .
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Frequently Asked Questions on HCF of 9882, 2253 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 9882, 2253?
Answer: HCF of 9882, 2253 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9882, 2253 using Euclid's Algorithm?
Answer: For arbitrary numbers 9882, 2253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.