Highest Common Factor of 3650, 4403 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, 4403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3650, 4403 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, 4403 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, 4403 is 1.
HCF(3650, 4403) = 1
HCF of 3650, 4403 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, 4403 is 1.
Highest Common Factor of 3650,4403 is 1
Step 1: Since 4403 > 3650, we apply the division lemma to 4403 and 3650, to get
4403 = 3650 x 1 + 753
Step 2: Since the reminder 3650 ≠ 0, we apply division lemma to 753 and 3650, to get
3650 = 753 x 4 + 638
Step 3: We consider the new divisor 753 and the new remainder 638, and apply the division lemma to get
753 = 638 x 1 + 115
We consider the new divisor 638 and the new remainder 115,and apply the division lemma to get
638 = 115 x 5 + 63
We consider the new divisor 115 and the new remainder 63,and apply the division lemma to get
115 = 63 x 1 + 52
We consider the new divisor 63 and the new remainder 52,and apply the division lemma to get
63 = 52 x 1 + 11
We consider the new divisor 52 and the new remainder 11,and apply the division lemma to get
52 = 11 x 4 + 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 4403 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(52,11) = HCF(63,52) = HCF(115,63) = HCF(638,115) = HCF(753,638) = HCF(3650,753) = HCF(4403,3650) .
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Frequently Asked Questions on HCF of 3650, 4403 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, 4403?
Answer: HCF of 3650, 4403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3650, 4403 using Euclid's Algorithm?
Answer: For arbitrary numbers 3650, 4403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.