Highest Common Factor of 3655, 6200, 89505 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 3655, 6200, 89505 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3655, 6200, 89505 is 5 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 3655, 6200, 89505 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 3655, 6200, 89505 is 5.
HCF(3655, 6200, 89505) = 5
HCF of 3655, 6200, 89505 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3655, 6200, 89505 is 5.
Highest Common Factor of 3655,6200,89505 is 5
Step 1: Since 6200 > 3655, we apply the division lemma to 6200 and 3655, to get
6200 = 3655 x 1 + 2545
Step 2: Since the reminder 3655 ≠ 0, we apply division lemma to 2545 and 3655, to get
3655 = 2545 x 1 + 1110
Step 3: We consider the new divisor 2545 and the new remainder 1110, and apply the division lemma to get
2545 = 1110 x 2 + 325
We consider the new divisor 1110 and the new remainder 325,and apply the division lemma to get
1110 = 325 x 3 + 135
We consider the new divisor 325 and the new remainder 135,and apply the division lemma to get
325 = 135 x 2 + 55
We consider the new divisor 135 and the new remainder 55,and apply the division lemma to get
135 = 55 x 2 + 25
We consider the new divisor 55 and the new remainder 25,and apply the division lemma to get
55 = 25 x 2 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3655 and 6200 is 5
Notice that 5 = HCF(25,5) = HCF(55,25) = HCF(135,55) = HCF(325,135) = HCF(1110,325) = HCF(2545,1110) = HCF(3655,2545) = HCF(6200,3655) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89505 > 5, we apply the division lemma to 89505 and 5, to get
89505 = 5 x 17901 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 89505 is 5
Notice that 5 = HCF(89505,5) .
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Frequently Asked Questions on HCF of 3655, 6200, 89505 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 3655, 6200, 89505?
Answer: HCF of 3655, 6200, 89505 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3655, 6200, 89505 using Euclid's Algorithm?
Answer: For arbitrary numbers 3655, 6200, 89505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.