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 2969, 9413 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2969, 9413 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 2969, 9413 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 2969, 9413 is 1.
HCF(2969, 9413) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2969, 9413 is 1.
Step 1: Since 9413 > 2969, we apply the division lemma to 9413 and 2969, to get
9413 = 2969 x 3 + 506
Step 2: Since the reminder 2969 ≠ 0, we apply division lemma to 506 and 2969, to get
2969 = 506 x 5 + 439
Step 3: We consider the new divisor 506 and the new remainder 439, and apply the division lemma to get
506 = 439 x 1 + 67
We consider the new divisor 439 and the new remainder 67,and apply the division lemma to get
439 = 67 x 6 + 37
We consider the new divisor 67 and the new remainder 37,and apply the division lemma to get
67 = 37 x 1 + 30
We consider the new divisor 37 and the new remainder 30,and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 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 2969 and 9413 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(67,37) = HCF(439,67) = HCF(506,439) = HCF(2969,506) = HCF(9413,2969) .
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 2969, 9413?
Answer: HCF of 2969, 9413 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2969, 9413 using Euclid's Algorithm?
Answer: For arbitrary numbers 2969, 9413 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.