Highest Common Factor of 9843, 2556 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 9843, 2556 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9843, 2556 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 9843, 2556 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 9843, 2556 is 3.
HCF(9843, 2556) = 3
HCF of 9843, 2556 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9843, 2556 is 3.
Highest Common Factor of 9843,2556 is 3
Step 1: Since 9843 > 2556, we apply the division lemma to 9843 and 2556, to get
9843 = 2556 x 3 + 2175
Step 2: Since the reminder 2556 ≠ 0, we apply division lemma to 2175 and 2556, to get
2556 = 2175 x 1 + 381
Step 3: We consider the new divisor 2175 and the new remainder 381, and apply the division lemma to get
2175 = 381 x 5 + 270
We consider the new divisor 381 and the new remainder 270,and apply the division lemma to get
381 = 270 x 1 + 111
We consider the new divisor 270 and the new remainder 111,and apply the division lemma to get
270 = 111 x 2 + 48
We consider the new divisor 111 and the new remainder 48,and apply the division lemma to get
111 = 48 x 2 + 15
We consider the new divisor 48 and the new remainder 15,and apply the division lemma to get
48 = 15 x 3 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9843 and 2556 is 3
Notice that 3 = HCF(15,3) = HCF(48,15) = HCF(111,48) = HCF(270,111) = HCF(381,270) = HCF(2175,381) = HCF(2556,2175) = HCF(9843,2556) .
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Frequently Asked Questions on HCF of 9843, 2556 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 9843, 2556?
Answer: HCF of 9843, 2556 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9843, 2556 using Euclid's Algorithm?
Answer: For arbitrary numbers 9843, 2556 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.