Highest Common Factor of 3954, 6832 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 3954, 6832 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3954, 6832 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 3954, 6832 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 3954, 6832 is 2.
HCF(3954, 6832) = 2
HCF of 3954, 6832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3954, 6832 is 2.
Highest Common Factor of 3954,6832 is 2
Step 1: Since 6832 > 3954, we apply the division lemma to 6832 and 3954, to get
6832 = 3954 x 1 + 2878
Step 2: Since the reminder 3954 ≠ 0, we apply division lemma to 2878 and 3954, to get
3954 = 2878 x 1 + 1076
Step 3: We consider the new divisor 2878 and the new remainder 1076, and apply the division lemma to get
2878 = 1076 x 2 + 726
We consider the new divisor 1076 and the new remainder 726,and apply the division lemma to get
1076 = 726 x 1 + 350
We consider the new divisor 726 and the new remainder 350,and apply the division lemma to get
726 = 350 x 2 + 26
We consider the new divisor 350 and the new remainder 26,and apply the division lemma to get
350 = 26 x 13 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3954 and 6832 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(350,26) = HCF(726,350) = HCF(1076,726) = HCF(2878,1076) = HCF(3954,2878) = HCF(6832,3954) .
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Frequently Asked Questions on HCF of 3954, 6832 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 3954, 6832?
Answer: HCF of 3954, 6832 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3954, 6832 using Euclid's Algorithm?
Answer: For arbitrary numbers 3954, 6832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.