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 9727, 7405 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9727, 7405 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 9727, 7405 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 9727, 7405 is 1.
HCF(9727, 7405) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9727, 7405 is 1.
Step 1: Since 9727 > 7405, we apply the division lemma to 9727 and 7405, to get
9727 = 7405 x 1 + 2322
Step 2: Since the reminder 7405 ≠ 0, we apply division lemma to 2322 and 7405, to get
7405 = 2322 x 3 + 439
Step 3: We consider the new divisor 2322 and the new remainder 439, and apply the division lemma to get
2322 = 439 x 5 + 127
We consider the new divisor 439 and the new remainder 127,and apply the division lemma to get
439 = 127 x 3 + 58
We consider the new divisor 127 and the new remainder 58,and apply the division lemma to get
127 = 58 x 2 + 11
We consider the new divisor 58 and the new remainder 11,and apply the division lemma to get
58 = 11 x 5 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9727 and 7405 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(58,11) = HCF(127,58) = HCF(439,127) = HCF(2322,439) = HCF(7405,2322) = HCF(9727,7405) .
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 9727, 7405?
Answer: HCF of 9727, 7405 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9727, 7405 using Euclid's Algorithm?
Answer: For arbitrary numbers 9727, 7405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.