Highest Common Factor of 5390, 8257 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 5390, 8257 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5390, 8257 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 5390, 8257 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 5390, 8257 is 1.
HCF(5390, 8257) = 1
HCF of 5390, 8257 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5390, 8257 is 1.
Highest Common Factor of 5390,8257 is 1
Step 1: Since 8257 > 5390, we apply the division lemma to 8257 and 5390, to get
8257 = 5390 x 1 + 2867
Step 2: Since the reminder 5390 ≠ 0, we apply division lemma to 2867 and 5390, to get
5390 = 2867 x 1 + 2523
Step 3: We consider the new divisor 2867 and the new remainder 2523, and apply the division lemma to get
2867 = 2523 x 1 + 344
We consider the new divisor 2523 and the new remainder 344,and apply the division lemma to get
2523 = 344 x 7 + 115
We consider the new divisor 344 and the new remainder 115,and apply the division lemma to get
344 = 115 x 2 + 114
We consider the new divisor 115 and the new remainder 114,and apply the division lemma to get
115 = 114 x 1 + 1
We consider the new divisor 114 and the new remainder 1,and apply the division lemma to get
114 = 1 x 114 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5390 and 8257 is 1
Notice that 1 = HCF(114,1) = HCF(115,114) = HCF(344,115) = HCF(2523,344) = HCF(2867,2523) = HCF(5390,2867) = HCF(8257,5390) .
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Frequently Asked Questions on HCF of 5390, 8257 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 5390, 8257?
Answer: HCF of 5390, 8257 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5390, 8257 using Euclid's Algorithm?
Answer: For arbitrary numbers 5390, 8257 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.