Highest Common Factor of 3586, 5118, 99255 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 3586, 5118, 99255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3586, 5118, 99255 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 3586, 5118, 99255 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 3586, 5118, 99255 is 1.
HCF(3586, 5118, 99255) = 1
HCF of 3586, 5118, 99255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3586, 5118, 99255 is 1.
Highest Common Factor of 3586,5118,99255 is 1
Step 1: Since 5118 > 3586, we apply the division lemma to 5118 and 3586, to get
5118 = 3586 x 1 + 1532
Step 2: Since the reminder 3586 ≠ 0, we apply division lemma to 1532 and 3586, to get
3586 = 1532 x 2 + 522
Step 3: We consider the new divisor 1532 and the new remainder 522, and apply the division lemma to get
1532 = 522 x 2 + 488
We consider the new divisor 522 and the new remainder 488,and apply the division lemma to get
522 = 488 x 1 + 34
We consider the new divisor 488 and the new remainder 34,and apply the division lemma to get
488 = 34 x 14 + 12
We consider the new divisor 34 and the new remainder 12,and apply the division lemma to get
34 = 12 x 2 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3586 and 5118 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(34,12) = HCF(488,34) = HCF(522,488) = HCF(1532,522) = HCF(3586,1532) = HCF(5118,3586) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99255 > 2, we apply the division lemma to 99255 and 2, to get
99255 = 2 x 49627 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 99255 is 1
Notice that 1 = HCF(2,1) = HCF(99255,2) .
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Frequently Asked Questions on HCF of 3586, 5118, 99255 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 3586, 5118, 99255?
Answer: HCF of 3586, 5118, 99255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3586, 5118, 99255 using Euclid's Algorithm?
Answer: For arbitrary numbers 3586, 5118, 99255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.