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 7323, 9655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7323, 9655 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 7323, 9655 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 7323, 9655 is 1.
HCF(7323, 9655) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7323, 9655 is 1.
Step 1: Since 9655 > 7323, we apply the division lemma to 9655 and 7323, to get
9655 = 7323 x 1 + 2332
Step 2: Since the reminder 7323 ≠ 0, we apply division lemma to 2332 and 7323, to get
7323 = 2332 x 3 + 327
Step 3: We consider the new divisor 2332 and the new remainder 327, and apply the division lemma to get
2332 = 327 x 7 + 43
We consider the new divisor 327 and the new remainder 43,and apply the division lemma to get
327 = 43 x 7 + 26
We consider the new divisor 43 and the new remainder 26,and apply the division lemma to get
43 = 26 x 1 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7323 and 9655 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(43,26) = HCF(327,43) = HCF(2332,327) = HCF(7323,2332) = HCF(9655,7323) .
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 7323, 9655?
Answer: HCF of 7323, 9655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7323, 9655 using Euclid's Algorithm?
Answer: For arbitrary numbers 7323, 9655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.