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 1010, 6841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1010, 6841 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 1010, 6841 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 1010, 6841 is 1.
HCF(1010, 6841) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1010, 6841 is 1.
Step 1: Since 6841 > 1010, we apply the division lemma to 6841 and 1010, to get
6841 = 1010 x 6 + 781
Step 2: Since the reminder 1010 ≠ 0, we apply division lemma to 781 and 1010, to get
1010 = 781 x 1 + 229
Step 3: We consider the new divisor 781 and the new remainder 229, and apply the division lemma to get
781 = 229 x 3 + 94
We consider the new divisor 229 and the new remainder 94,and apply the division lemma to get
229 = 94 x 2 + 41
We consider the new divisor 94 and the new remainder 41,and apply the division lemma to get
94 = 41 x 2 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1010 and 6841 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(94,41) = HCF(229,94) = HCF(781,229) = HCF(1010,781) = HCF(6841,1010) .
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 1010, 6841?
Answer: HCF of 1010, 6841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1010, 6841 using Euclid's Algorithm?
Answer: For arbitrary numbers 1010, 6841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.