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 9506, 2902 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9506, 2902 is 2 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 9506, 2902 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 9506, 2902 is 2.
HCF(9506, 2902) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9506, 2902 is 2.
Step 1: Since 9506 > 2902, we apply the division lemma to 9506 and 2902, to get
9506 = 2902 x 3 + 800
Step 2: Since the reminder 2902 ≠ 0, we apply division lemma to 800 and 2902, to get
2902 = 800 x 3 + 502
Step 3: We consider the new divisor 800 and the new remainder 502, and apply the division lemma to get
800 = 502 x 1 + 298
We consider the new divisor 502 and the new remainder 298,and apply the division lemma to get
502 = 298 x 1 + 204
We consider the new divisor 298 and the new remainder 204,and apply the division lemma to get
298 = 204 x 1 + 94
We consider the new divisor 204 and the new remainder 94,and apply the division lemma to get
204 = 94 x 2 + 16
We consider the new divisor 94 and the new remainder 16,and apply the division lemma to get
94 = 16 x 5 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9506 and 2902 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(94,16) = HCF(204,94) = HCF(298,204) = HCF(502,298) = HCF(800,502) = HCF(2902,800) = HCF(9506,2902) .
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 9506, 2902?
Answer: HCF of 9506, 2902 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9506, 2902 using Euclid's Algorithm?
Answer: For arbitrary numbers 9506, 2902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.