Highest Common Factor of 5311, 8918 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 5311, 8918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5311, 8918 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 5311, 8918 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 5311, 8918 is 1.
HCF(5311, 8918) = 1
HCF of 5311, 8918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5311, 8918 is 1.
Highest Common Factor of 5311,8918 is 1
Step 1: Since 8918 > 5311, we apply the division lemma to 8918 and 5311, to get
8918 = 5311 x 1 + 3607
Step 2: Since the reminder 5311 ≠ 0, we apply division lemma to 3607 and 5311, to get
5311 = 3607 x 1 + 1704
Step 3: We consider the new divisor 3607 and the new remainder 1704, and apply the division lemma to get
3607 = 1704 x 2 + 199
We consider the new divisor 1704 and the new remainder 199,and apply the division lemma to get
1704 = 199 x 8 + 112
We consider the new divisor 199 and the new remainder 112,and apply the division lemma to get
199 = 112 x 1 + 87
We consider the new divisor 112 and the new remainder 87,and apply the division lemma to get
112 = 87 x 1 + 25
We consider the new divisor 87 and the new remainder 25,and apply the division lemma to get
87 = 25 x 3 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5311 and 8918 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(87,25) = HCF(112,87) = HCF(199,112) = HCF(1704,199) = HCF(3607,1704) = HCF(5311,3607) = HCF(8918,5311) .
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Frequently Asked Questions on HCF of 5311, 8918 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 5311, 8918?
Answer: HCF of 5311, 8918 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5311, 8918 using Euclid's Algorithm?
Answer: For arbitrary numbers 5311, 8918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
