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 7305, 9908 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7305, 9908 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 7305, 9908 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 7305, 9908 is 1.
HCF(7305, 9908) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7305, 9908 is 1.
Step 1: Since 9908 > 7305, we apply the division lemma to 9908 and 7305, to get
9908 = 7305 x 1 + 2603
Step 2: Since the reminder 7305 ≠ 0, we apply division lemma to 2603 and 7305, to get
7305 = 2603 x 2 + 2099
Step 3: We consider the new divisor 2603 and the new remainder 2099, and apply the division lemma to get
2603 = 2099 x 1 + 504
We consider the new divisor 2099 and the new remainder 504,and apply the division lemma to get
2099 = 504 x 4 + 83
We consider the new divisor 504 and the new remainder 83,and apply the division lemma to get
504 = 83 x 6 + 6
We consider the new divisor 83 and the new remainder 6,and apply the division lemma to get
83 = 6 x 13 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7305 and 9908 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(83,6) = HCF(504,83) = HCF(2099,504) = HCF(2603,2099) = HCF(7305,2603) = HCF(9908,7305) .
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 7305, 9908?
Answer: HCF of 7305, 9908 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7305, 9908 using Euclid's Algorithm?
Answer: For arbitrary numbers 7305, 9908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.