Highest Common Factor of 6858, 5213 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 6858, 5213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6858, 5213 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 6858, 5213 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 6858, 5213 is 1.
HCF(6858, 5213) = 1
HCF of 6858, 5213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6858, 5213 is 1.
Highest Common Factor of 6858,5213 is 1
Step 1: Since 6858 > 5213, we apply the division lemma to 6858 and 5213, to get
6858 = 5213 x 1 + 1645
Step 2: Since the reminder 5213 ≠ 0, we apply division lemma to 1645 and 5213, to get
5213 = 1645 x 3 + 278
Step 3: We consider the new divisor 1645 and the new remainder 278, and apply the division lemma to get
1645 = 278 x 5 + 255
We consider the new divisor 278 and the new remainder 255,and apply the division lemma to get
278 = 255 x 1 + 23
We consider the new divisor 255 and the new remainder 23,and apply the division lemma to get
255 = 23 x 11 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 6858 and 5213 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(255,23) = HCF(278,255) = HCF(1645,278) = HCF(5213,1645) = HCF(6858,5213) .
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Frequently Asked Questions on HCF of 6858, 5213 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 6858, 5213?
Answer: HCF of 6858, 5213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6858, 5213 using Euclid's Algorithm?
Answer: For arbitrary numbers 6858, 5213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.