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 3949, 7071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3949, 7071 is 1 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 3949, 7071 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 3949, 7071 is 1.
HCF(3949, 7071) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3949, 7071 is 1.
Step 1: Since 7071 > 3949, we apply the division lemma to 7071 and 3949, to get
7071 = 3949 x 1 + 3122
Step 2: Since the reminder 3949 ≠ 0, we apply division lemma to 3122 and 3949, to get
3949 = 3122 x 1 + 827
Step 3: We consider the new divisor 3122 and the new remainder 827, and apply the division lemma to get
3122 = 827 x 3 + 641
We consider the new divisor 827 and the new remainder 641,and apply the division lemma to get
827 = 641 x 1 + 186
We consider the new divisor 641 and the new remainder 186,and apply the division lemma to get
641 = 186 x 3 + 83
We consider the new divisor 186 and the new remainder 83,and apply the division lemma to get
186 = 83 x 2 + 20
We consider the new divisor 83 and the new remainder 20,and apply the division lemma to get
83 = 20 x 4 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3949 and 7071 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(83,20) = HCF(186,83) = HCF(641,186) = HCF(827,641) = HCF(3122,827) = HCF(3949,3122) = HCF(7071,3949) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3949, 7071?
Answer: HCF of 3949, 7071 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3949, 7071 using Euclid's Algorithm?
Answer: For arbitrary numbers 3949, 7071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.