Highest Common Factor of 3884, 9762 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 3884, 9762 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3884, 9762 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 3884, 9762 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 3884, 9762 is 2.
HCF(3884, 9762) = 2
HCF of 3884, 9762 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3884, 9762 is 2.
Highest Common Factor of 3884,9762 is 2
Step 1: Since 9762 > 3884, we apply the division lemma to 9762 and 3884, to get
9762 = 3884 x 2 + 1994
Step 2: Since the reminder 3884 ≠ 0, we apply division lemma to 1994 and 3884, to get
3884 = 1994 x 1 + 1890
Step 3: We consider the new divisor 1994 and the new remainder 1890, and apply the division lemma to get
1994 = 1890 x 1 + 104
We consider the new divisor 1890 and the new remainder 104,and apply the division lemma to get
1890 = 104 x 18 + 18
We consider the new divisor 104 and the new remainder 18,and apply the division lemma to get
104 = 18 x 5 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3884 and 9762 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(104,18) = HCF(1890,104) = HCF(1994,1890) = HCF(3884,1994) = HCF(9762,3884) .
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Frequently Asked Questions on HCF of 3884, 9762 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 3884, 9762?
Answer: HCF of 3884, 9762 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3884, 9762 using Euclid's Algorithm?
Answer: For arbitrary numbers 3884, 9762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
