Highest Common Factor of 6996, 3934 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 6996, 3934 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6996, 3934 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 6996, 3934 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 6996, 3934 is 2.
HCF(6996, 3934) = 2
HCF of 6996, 3934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6996, 3934 is 2.
Highest Common Factor of 6996,3934 is 2
Step 1: Since 6996 > 3934, we apply the division lemma to 6996 and 3934, to get
6996 = 3934 x 1 + 3062
Step 2: Since the reminder 3934 ≠ 0, we apply division lemma to 3062 and 3934, to get
3934 = 3062 x 1 + 872
Step 3: We consider the new divisor 3062 and the new remainder 872, and apply the division lemma to get
3062 = 872 x 3 + 446
We consider the new divisor 872 and the new remainder 446,and apply the division lemma to get
872 = 446 x 1 + 426
We consider the new divisor 446 and the new remainder 426,and apply the division lemma to get
446 = 426 x 1 + 20
We consider the new divisor 426 and the new remainder 20,and apply the division lemma to get
426 = 20 x 21 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6996 and 3934 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(426,20) = HCF(446,426) = HCF(872,446) = HCF(3062,872) = HCF(3934,3062) = HCF(6996,3934) .
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Frequently Asked Questions on HCF of 6996, 3934 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 6996, 3934?
Answer: HCF of 6996, 3934 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6996, 3934 using Euclid's Algorithm?
Answer: For arbitrary numbers 6996, 3934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.