Highest Common Factor of 3650, 8069 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 3650, 8069 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3650, 8069 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 3650, 8069 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 3650, 8069 is 1.
HCF(3650, 8069) = 1
HCF of 3650, 8069 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3650, 8069 is 1.
Highest Common Factor of 3650,8069 is 1
Step 1: Since 8069 > 3650, we apply the division lemma to 8069 and 3650, to get
8069 = 3650 x 2 + 769
Step 2: Since the reminder 3650 ≠ 0, we apply division lemma to 769 and 3650, to get
3650 = 769 x 4 + 574
Step 3: We consider the new divisor 769 and the new remainder 574, and apply the division lemma to get
769 = 574 x 1 + 195
We consider the new divisor 574 and the new remainder 195,and apply the division lemma to get
574 = 195 x 2 + 184
We consider the new divisor 195 and the new remainder 184,and apply the division lemma to get
195 = 184 x 1 + 11
We consider the new divisor 184 and the new remainder 11,and apply the division lemma to get
184 = 11 x 16 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 3650 and 8069 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(184,11) = HCF(195,184) = HCF(574,195) = HCF(769,574) = HCF(3650,769) = HCF(8069,3650) .
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Frequently Asked Questions on HCF of 3650, 8069 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 3650, 8069?
Answer: HCF of 3650, 8069 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3650, 8069 using Euclid's Algorithm?
Answer: For arbitrary numbers 3650, 8069 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.