Highest Common Factor of 7983, 3697, 99696 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 7983, 3697, 99696 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7983, 3697, 99696 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 7983, 3697, 99696 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 7983, 3697, 99696 is 1.
HCF(7983, 3697, 99696) = 1
HCF of 7983, 3697, 99696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7983, 3697, 99696 is 1.
Highest Common Factor of 7983,3697,99696 is 1
Step 1: Since 7983 > 3697, we apply the division lemma to 7983 and 3697, to get
7983 = 3697 x 2 + 589
Step 2: Since the reminder 3697 ≠ 0, we apply division lemma to 589 and 3697, to get
3697 = 589 x 6 + 163
Step 3: We consider the new divisor 589 and the new remainder 163, and apply the division lemma to get
589 = 163 x 3 + 100
We consider the new divisor 163 and the new remainder 100,and apply the division lemma to get
163 = 100 x 1 + 63
We consider the new divisor 100 and the new remainder 63,and apply the division lemma to get
100 = 63 x 1 + 37
We consider the new divisor 63 and the new remainder 37,and apply the division lemma to get
63 = 37 x 1 + 26
We consider the new divisor 37 and the new remainder 26,and apply the division lemma to get
37 = 26 x 1 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7983 and 3697 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(63,37) = HCF(100,63) = HCF(163,100) = HCF(589,163) = HCF(3697,589) = HCF(7983,3697) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99696 > 1, we apply the division lemma to 99696 and 1, to get
99696 = 1 x 99696 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99696 is 1
Notice that 1 = HCF(99696,1) .
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Frequently Asked Questions on HCF of 7983, 3697, 99696 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 7983, 3697, 99696?
Answer: HCF of 7983, 3697, 99696 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7983, 3697, 99696 using Euclid's Algorithm?
Answer: For arbitrary numbers 7983, 3697, 99696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
