Highest Common Factor of 3658, 1363 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 3658, 1363 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3658, 1363 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 3658, 1363 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 3658, 1363 is 1.
HCF(3658, 1363) = 1
HCF of 3658, 1363 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3658, 1363 is 1.
Highest Common Factor of 3658,1363 is 1
Step 1: Since 3658 > 1363, we apply the division lemma to 3658 and 1363, to get
3658 = 1363 x 2 + 932
Step 2: Since the reminder 1363 ≠ 0, we apply division lemma to 932 and 1363, to get
1363 = 932 x 1 + 431
Step 3: We consider the new divisor 932 and the new remainder 431, and apply the division lemma to get
932 = 431 x 2 + 70
We consider the new divisor 431 and the new remainder 70,and apply the division lemma to get
431 = 70 x 6 + 11
We consider the new divisor 70 and the new remainder 11,and apply the division lemma to get
70 = 11 x 6 + 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 3658 and 1363 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(70,11) = HCF(431,70) = HCF(932,431) = HCF(1363,932) = HCF(3658,1363) .
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Frequently Asked Questions on HCF of 3658, 1363 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 3658, 1363?
Answer: HCF of 3658, 1363 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3658, 1363 using Euclid's Algorithm?
Answer: For arbitrary numbers 3658, 1363 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.