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 9961, 4209 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9961, 4209 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 9961, 4209 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 9961, 4209 is 1.
HCF(9961, 4209) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9961, 4209 is 1.
Step 1: Since 9961 > 4209, we apply the division lemma to 9961 and 4209, to get
9961 = 4209 x 2 + 1543
Step 2: Since the reminder 4209 ≠ 0, we apply division lemma to 1543 and 4209, to get
4209 = 1543 x 2 + 1123
Step 3: We consider the new divisor 1543 and the new remainder 1123, and apply the division lemma to get
1543 = 1123 x 1 + 420
We consider the new divisor 1123 and the new remainder 420,and apply the division lemma to get
1123 = 420 x 2 + 283
We consider the new divisor 420 and the new remainder 283,and apply the division lemma to get
420 = 283 x 1 + 137
We consider the new divisor 283 and the new remainder 137,and apply the division lemma to get
283 = 137 x 2 + 9
We consider the new divisor 137 and the new remainder 9,and apply the division lemma to get
137 = 9 x 15 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 9961 and 4209 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(137,9) = HCF(283,137) = HCF(420,283) = HCF(1123,420) = HCF(1543,1123) = HCF(4209,1543) = HCF(9961,4209) .
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 9961, 4209?
Answer: HCF of 9961, 4209 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9961, 4209 using Euclid's Algorithm?
Answer: For arbitrary numbers 9961, 4209 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.