Highest Common Factor of 5185, 7818 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 5185, 7818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5185, 7818 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 5185, 7818 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 5185, 7818 is 1.
HCF(5185, 7818) = 1
HCF of 5185, 7818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5185, 7818 is 1.
Highest Common Factor of 5185,7818 is 1
Step 1: Since 7818 > 5185, we apply the division lemma to 7818 and 5185, to get
7818 = 5185 x 1 + 2633
Step 2: Since the reminder 5185 ≠ 0, we apply division lemma to 2633 and 5185, to get
5185 = 2633 x 1 + 2552
Step 3: We consider the new divisor 2633 and the new remainder 2552, and apply the division lemma to get
2633 = 2552 x 1 + 81
We consider the new divisor 2552 and the new remainder 81,and apply the division lemma to get
2552 = 81 x 31 + 41
We consider the new divisor 81 and the new remainder 41,and apply the division lemma to get
81 = 41 x 1 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5185 and 7818 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(81,41) = HCF(2552,81) = HCF(2633,2552) = HCF(5185,2633) = HCF(7818,5185) .
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Frequently Asked Questions on HCF of 5185, 7818 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 5185, 7818?
Answer: HCF of 5185, 7818 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5185, 7818 using Euclid's Algorithm?
Answer: For arbitrary numbers 5185, 7818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.