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 3987, 3695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3987, 3695 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 3987, 3695 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 3987, 3695 is 1.
HCF(3987, 3695) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3987, 3695 is 1.
Step 1: Since 3987 > 3695, we apply the division lemma to 3987 and 3695, to get
3987 = 3695 x 1 + 292
Step 2: Since the reminder 3695 ≠ 0, we apply division lemma to 292 and 3695, to get
3695 = 292 x 12 + 191
Step 3: We consider the new divisor 292 and the new remainder 191, and apply the division lemma to get
292 = 191 x 1 + 101
We consider the new divisor 191 and the new remainder 101,and apply the division lemma to get
191 = 101 x 1 + 90
We consider the new divisor 101 and the new remainder 90,and apply the division lemma to get
101 = 90 x 1 + 11
We consider the new divisor 90 and the new remainder 11,and apply the division lemma to get
90 = 11 x 8 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3987 and 3695 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(90,11) = HCF(101,90) = HCF(191,101) = HCF(292,191) = HCF(3695,292) = HCF(3987,3695) .
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 3987, 3695?
Answer: HCF of 3987, 3695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3987, 3695 using Euclid's Algorithm?
Answer: For arbitrary numbers 3987, 3695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.