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 9241, 6797, 82847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9241, 6797, 82847 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 9241, 6797, 82847 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 9241, 6797, 82847 is 1.
HCF(9241, 6797, 82847) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9241, 6797, 82847 is 1.
Step 1: Since 9241 > 6797, we apply the division lemma to 9241 and 6797, to get
9241 = 6797 x 1 + 2444
Step 2: Since the reminder 6797 ≠ 0, we apply division lemma to 2444 and 6797, to get
6797 = 2444 x 2 + 1909
Step 3: We consider the new divisor 2444 and the new remainder 1909, and apply the division lemma to get
2444 = 1909 x 1 + 535
We consider the new divisor 1909 and the new remainder 535,and apply the division lemma to get
1909 = 535 x 3 + 304
We consider the new divisor 535 and the new remainder 304,and apply the division lemma to get
535 = 304 x 1 + 231
We consider the new divisor 304 and the new remainder 231,and apply the division lemma to get
304 = 231 x 1 + 73
We consider the new divisor 231 and the new remainder 73,and apply the division lemma to get
231 = 73 x 3 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9241 and 6797 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(231,73) = HCF(304,231) = HCF(535,304) = HCF(1909,535) = HCF(2444,1909) = HCF(6797,2444) = HCF(9241,6797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 82847 > 1, we apply the division lemma to 82847 and 1, to get
82847 = 1 x 82847 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 82847 is 1
Notice that 1 = HCF(82847,1) .
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 9241, 6797, 82847?
Answer: HCF of 9241, 6797, 82847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9241, 6797, 82847 using Euclid's Algorithm?
Answer: For arbitrary numbers 9241, 6797, 82847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.