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 6221, 9557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6221, 9557 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 6221, 9557 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 6221, 9557 is 1.
HCF(6221, 9557) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6221, 9557 is 1.
Step 1: Since 9557 > 6221, we apply the division lemma to 9557 and 6221, to get
9557 = 6221 x 1 + 3336
Step 2: Since the reminder 6221 ≠ 0, we apply division lemma to 3336 and 6221, to get
6221 = 3336 x 1 + 2885
Step 3: We consider the new divisor 3336 and the new remainder 2885, and apply the division lemma to get
3336 = 2885 x 1 + 451
We consider the new divisor 2885 and the new remainder 451,and apply the division lemma to get
2885 = 451 x 6 + 179
We consider the new divisor 451 and the new remainder 179,and apply the division lemma to get
451 = 179 x 2 + 93
We consider the new divisor 179 and the new remainder 93,and apply the division lemma to get
179 = 93 x 1 + 86
We consider the new divisor 93 and the new remainder 86,and apply the division lemma to get
93 = 86 x 1 + 7
We consider the new divisor 86 and the new remainder 7,and apply the division lemma to get
86 = 7 x 12 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 6221 and 9557 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(86,7) = HCF(93,86) = HCF(179,93) = HCF(451,179) = HCF(2885,451) = HCF(3336,2885) = HCF(6221,3336) = HCF(9557,6221) .
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 6221, 9557?
Answer: HCF of 6221, 9557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6221, 9557 using Euclid's Algorithm?
Answer: For arbitrary numbers 6221, 9557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.