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 9907, 9745 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9907, 9745 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 9907, 9745 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 9907, 9745 is 1.
HCF(9907, 9745) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9907, 9745 is 1.
Step 1: Since 9907 > 9745, we apply the division lemma to 9907 and 9745, to get
9907 = 9745 x 1 + 162
Step 2: Since the reminder 9745 ≠ 0, we apply division lemma to 162 and 9745, to get
9745 = 162 x 60 + 25
Step 3: We consider the new divisor 162 and the new remainder 25, and apply the division lemma to get
162 = 25 x 6 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9907 and 9745 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(162,25) = HCF(9745,162) = HCF(9907,9745) .
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 9907, 9745?
Answer: HCF of 9907, 9745 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9907, 9745 using Euclid's Algorithm?
Answer: For arbitrary numbers 9907, 9745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.