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 6829, 2656 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6829, 2656 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 6829, 2656 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 6829, 2656 is 1.
HCF(6829, 2656) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6829, 2656 is 1.
Step 1: Since 6829 > 2656, we apply the division lemma to 6829 and 2656, to get
6829 = 2656 x 2 + 1517
Step 2: Since the reminder 2656 ≠ 0, we apply division lemma to 1517 and 2656, to get
2656 = 1517 x 1 + 1139
Step 3: We consider the new divisor 1517 and the new remainder 1139, and apply the division lemma to get
1517 = 1139 x 1 + 378
We consider the new divisor 1139 and the new remainder 378,and apply the division lemma to get
1139 = 378 x 3 + 5
We consider the new divisor 378 and the new remainder 5,and apply the division lemma to get
378 = 5 x 75 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6829 and 2656 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(378,5) = HCF(1139,378) = HCF(1517,1139) = HCF(2656,1517) = HCF(6829,2656) .
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 6829, 2656?
Answer: HCF of 6829, 2656 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6829, 2656 using Euclid's Algorithm?
Answer: For arbitrary numbers 6829, 2656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.