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 3085, 6829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3085, 6829 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 3085, 6829 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 3085, 6829 is 1.
HCF(3085, 6829) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3085, 6829 is 1.
Step 1: Since 6829 > 3085, we apply the division lemma to 6829 and 3085, to get
6829 = 3085 x 2 + 659
Step 2: Since the reminder 3085 ≠ 0, we apply division lemma to 659 and 3085, to get
3085 = 659 x 4 + 449
Step 3: We consider the new divisor 659 and the new remainder 449, and apply the division lemma to get
659 = 449 x 1 + 210
We consider the new divisor 449 and the new remainder 210,and apply the division lemma to get
449 = 210 x 2 + 29
We consider the new divisor 210 and the new remainder 29,and apply the division lemma to get
210 = 29 x 7 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3085 and 6829 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(210,29) = HCF(449,210) = HCF(659,449) = HCF(3085,659) = HCF(6829,3085) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3085, 6829?
Answer: HCF of 3085, 6829 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3085, 6829 using Euclid's Algorithm?
Answer: For arbitrary numbers 3085, 6829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.