Highest Common Factor of 6858, 5834 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, 5834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6858, 5834 is 2 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, 5834 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, 5834 is 2.
HCF(6858, 5834) = 2
HCF of 6858, 5834 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, 5834 is 2.
Highest Common Factor of 6858,5834 is 2
Step 1: Since 6858 > 5834, we apply the division lemma to 6858 and 5834, to get
6858 = 5834 x 1 + 1024
Step 2: Since the reminder 5834 ≠ 0, we apply division lemma to 1024 and 5834, to get
5834 = 1024 x 5 + 714
Step 3: We consider the new divisor 1024 and the new remainder 714, and apply the division lemma to get
1024 = 714 x 1 + 310
We consider the new divisor 714 and the new remainder 310,and apply the division lemma to get
714 = 310 x 2 + 94
We consider the new divisor 310 and the new remainder 94,and apply the division lemma to get
310 = 94 x 3 + 28
We consider the new divisor 94 and the new remainder 28,and apply the division lemma to get
94 = 28 x 3 + 10
We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get
28 = 10 x 2 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6858 and 5834 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(94,28) = HCF(310,94) = HCF(714,310) = HCF(1024,714) = HCF(5834,1024) = HCF(6858,5834) .
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Frequently Asked Questions on HCF of 6858, 5834 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, 5834?
Answer: HCF of 6858, 5834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6858, 5834 using Euclid's Algorithm?
Answer: For arbitrary numbers 6858, 5834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.