Highest Common Factor of 3532, 9846 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 3532, 9846 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3532, 9846 is 2 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 3532, 9846 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 3532, 9846 is 2.
HCF(3532, 9846) = 2
HCF of 3532, 9846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3532, 9846 is 2.
Highest Common Factor of 3532,9846 is 2
Step 1: Since 9846 > 3532, we apply the division lemma to 9846 and 3532, to get
9846 = 3532 x 2 + 2782
Step 2: Since the reminder 3532 ≠ 0, we apply division lemma to 2782 and 3532, to get
3532 = 2782 x 1 + 750
Step 3: We consider the new divisor 2782 and the new remainder 750, and apply the division lemma to get
2782 = 750 x 3 + 532
We consider the new divisor 750 and the new remainder 532,and apply the division lemma to get
750 = 532 x 1 + 218
We consider the new divisor 532 and the new remainder 218,and apply the division lemma to get
532 = 218 x 2 + 96
We consider the new divisor 218 and the new remainder 96,and apply the division lemma to get
218 = 96 x 2 + 26
We consider the new divisor 96 and the new remainder 26,and apply the division lemma to get
96 = 26 x 3 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3532 and 9846 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(96,26) = HCF(218,96) = HCF(532,218) = HCF(750,532) = HCF(2782,750) = HCF(3532,2782) = HCF(9846,3532) .
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Frequently Asked Questions on HCF of 3532, 9846 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 3532, 9846?
Answer: HCF of 3532, 9846 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3532, 9846 using Euclid's Algorithm?
Answer: For arbitrary numbers 3532, 9846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.