Highest Common Factor of 9782, 3695 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 9782, 3695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9782, 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 9782, 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 9782, 3695 is 1.
HCF(9782, 3695) = 1
HCF of 9782, 3695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9782, 3695 is 1.
Highest Common Factor of 9782,3695 is 1
Step 1: Since 9782 > 3695, we apply the division lemma to 9782 and 3695, to get
9782 = 3695 x 2 + 2392
Step 2: Since the reminder 3695 ≠ 0, we apply division lemma to 2392 and 3695, to get
3695 = 2392 x 1 + 1303
Step 3: We consider the new divisor 2392 and the new remainder 1303, and apply the division lemma to get
2392 = 1303 x 1 + 1089
We consider the new divisor 1303 and the new remainder 1089,and apply the division lemma to get
1303 = 1089 x 1 + 214
We consider the new divisor 1089 and the new remainder 214,and apply the division lemma to get
1089 = 214 x 5 + 19
We consider the new divisor 214 and the new remainder 19,and apply the division lemma to get
214 = 19 x 11 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9782 and 3695 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(214,19) = HCF(1089,214) = HCF(1303,1089) = HCF(2392,1303) = HCF(3695,2392) = HCF(9782,3695) .
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Frequently Asked Questions on HCF of 9782, 3695 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 9782, 3695?
Answer: HCF of 9782, 3695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9782, 3695 using Euclid's Algorithm?
Answer: For arbitrary numbers 9782, 3695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
