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 9001, 6281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9001, 6281 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 9001, 6281 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 9001, 6281 is 1.
HCF(9001, 6281) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9001, 6281 is 1.
Step 1: Since 9001 > 6281, we apply the division lemma to 9001 and 6281, to get
9001 = 6281 x 1 + 2720
Step 2: Since the reminder 6281 ≠ 0, we apply division lemma to 2720 and 6281, to get
6281 = 2720 x 2 + 841
Step 3: We consider the new divisor 2720 and the new remainder 841, and apply the division lemma to get
2720 = 841 x 3 + 197
We consider the new divisor 841 and the new remainder 197,and apply the division lemma to get
841 = 197 x 4 + 53
We consider the new divisor 197 and the new remainder 53,and apply the division lemma to get
197 = 53 x 3 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 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 9001 and 6281 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(197,53) = HCF(841,197) = HCF(2720,841) = HCF(6281,2720) = HCF(9001,6281) .
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 9001, 6281?
Answer: HCF of 9001, 6281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9001, 6281 using Euclid's Algorithm?
Answer: For arbitrary numbers 9001, 6281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.