Highest Common Factor of 6812, 3994 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 6812, 3994 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6812, 3994 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 6812, 3994 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 6812, 3994 is 2.
HCF(6812, 3994) = 2
HCF of 6812, 3994 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6812, 3994 is 2.
Highest Common Factor of 6812,3994 is 2
Step 1: Since 6812 > 3994, we apply the division lemma to 6812 and 3994, to get
6812 = 3994 x 1 + 2818
Step 2: Since the reminder 3994 ≠ 0, we apply division lemma to 2818 and 3994, to get
3994 = 2818 x 1 + 1176
Step 3: We consider the new divisor 2818 and the new remainder 1176, and apply the division lemma to get
2818 = 1176 x 2 + 466
We consider the new divisor 1176 and the new remainder 466,and apply the division lemma to get
1176 = 466 x 2 + 244
We consider the new divisor 466 and the new remainder 244,and apply the division lemma to get
466 = 244 x 1 + 222
We consider the new divisor 244 and the new remainder 222,and apply the division lemma to get
244 = 222 x 1 + 22
We consider the new divisor 222 and the new remainder 22,and apply the division lemma to get
222 = 22 x 10 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6812 and 3994 is 2
Notice that 2 = HCF(22,2) = HCF(222,22) = HCF(244,222) = HCF(466,244) = HCF(1176,466) = HCF(2818,1176) = HCF(3994,2818) = HCF(6812,3994) .
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Frequently Asked Questions on HCF of 6812, 3994 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 6812, 3994?
Answer: HCF of 6812, 3994 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6812, 3994 using Euclid's Algorithm?
Answer: For arbitrary numbers 6812, 3994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.