Highest Common Factor of 8995, 6835 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 8995, 6835 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8995, 6835 is 5 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 8995, 6835 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 8995, 6835 is 5.
HCF(8995, 6835) = 5
HCF of 8995, 6835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8995, 6835 is 5.
Highest Common Factor of 8995,6835 is 5
Step 1: Since 8995 > 6835, we apply the division lemma to 8995 and 6835, to get
8995 = 6835 x 1 + 2160
Step 2: Since the reminder 6835 ≠ 0, we apply division lemma to 2160 and 6835, to get
6835 = 2160 x 3 + 355
Step 3: We consider the new divisor 2160 and the new remainder 355, and apply the division lemma to get
2160 = 355 x 6 + 30
We consider the new divisor 355 and the new remainder 30,and apply the division lemma to get
355 = 30 x 11 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8995 and 6835 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(355,30) = HCF(2160,355) = HCF(6835,2160) = HCF(8995,6835) .
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Frequently Asked Questions on HCF of 8995, 6835 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 8995, 6835?
Answer: HCF of 8995, 6835 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8995, 6835 using Euclid's Algorithm?
Answer: For arbitrary numbers 8995, 6835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
