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 6329, 2221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6329, 2221 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 6329, 2221 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 6329, 2221 is 1.
HCF(6329, 2221) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6329, 2221 is 1.
Step 1: Since 6329 > 2221, we apply the division lemma to 6329 and 2221, to get
6329 = 2221 x 2 + 1887
Step 2: Since the reminder 2221 ≠ 0, we apply division lemma to 1887 and 2221, to get
2221 = 1887 x 1 + 334
Step 3: We consider the new divisor 1887 and the new remainder 334, and apply the division lemma to get
1887 = 334 x 5 + 217
We consider the new divisor 334 and the new remainder 217,and apply the division lemma to get
334 = 217 x 1 + 117
We consider the new divisor 217 and the new remainder 117,and apply the division lemma to get
217 = 117 x 1 + 100
We consider the new divisor 117 and the new remainder 100,and apply the division lemma to get
117 = 100 x 1 + 17
We consider the new divisor 100 and the new remainder 17,and apply the division lemma to get
100 = 17 x 5 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 6329 and 2221 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(100,17) = HCF(117,100) = HCF(217,117) = HCF(334,217) = HCF(1887,334) = HCF(2221,1887) = HCF(6329,2221) .
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 6329, 2221?
Answer: HCF of 6329, 2221 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6329, 2221 using Euclid's Algorithm?
Answer: For arbitrary numbers 6329, 2221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.