Highest Common Factor of 5855, 3610 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 5855, 3610 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5855, 3610 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 5855, 3610 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 5855, 3610 is 5.
HCF(5855, 3610) = 5
HCF of 5855, 3610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5855, 3610 is 5.
Highest Common Factor of 5855,3610 is 5
Step 1: Since 5855 > 3610, we apply the division lemma to 5855 and 3610, to get
5855 = 3610 x 1 + 2245
Step 2: Since the reminder 3610 ≠ 0, we apply division lemma to 2245 and 3610, to get
3610 = 2245 x 1 + 1365
Step 3: We consider the new divisor 2245 and the new remainder 1365, and apply the division lemma to get
2245 = 1365 x 1 + 880
We consider the new divisor 1365 and the new remainder 880,and apply the division lemma to get
1365 = 880 x 1 + 485
We consider the new divisor 880 and the new remainder 485,and apply the division lemma to get
880 = 485 x 1 + 395
We consider the new divisor 485 and the new remainder 395,and apply the division lemma to get
485 = 395 x 1 + 90
We consider the new divisor 395 and the new remainder 90,and apply the division lemma to get
395 = 90 x 4 + 35
We consider the new divisor 90 and the new remainder 35,and apply the division lemma to get
90 = 35 x 2 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5855 and 3610 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(90,35) = HCF(395,90) = HCF(485,395) = HCF(880,485) = HCF(1365,880) = HCF(2245,1365) = HCF(3610,2245) = HCF(5855,3610) .
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Frequently Asked Questions on HCF of 5855, 3610 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 5855, 3610?
Answer: HCF of 5855, 3610 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5855, 3610 using Euclid's Algorithm?
Answer: For arbitrary numbers 5855, 3610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
