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 4435, 9697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4435, 9697 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 4435, 9697 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 4435, 9697 is 1.
HCF(4435, 9697) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4435, 9697 is 1.
Step 1: Since 9697 > 4435, we apply the division lemma to 9697 and 4435, to get
9697 = 4435 x 2 + 827
Step 2: Since the reminder 4435 ≠ 0, we apply division lemma to 827 and 4435, to get
4435 = 827 x 5 + 300
Step 3: We consider the new divisor 827 and the new remainder 300, and apply the division lemma to get
827 = 300 x 2 + 227
We consider the new divisor 300 and the new remainder 227,and apply the division lemma to get
300 = 227 x 1 + 73
We consider the new divisor 227 and the new remainder 73,and apply the division lemma to get
227 = 73 x 3 + 8
We consider the new divisor 73 and the new remainder 8,and apply the division lemma to get
73 = 8 x 9 + 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 4435 and 9697 is 1
Notice that 1 = HCF(8,1) = HCF(73,8) = HCF(227,73) = HCF(300,227) = HCF(827,300) = HCF(4435,827) = HCF(9697,4435) .
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 4435, 9697?
Answer: HCF of 4435, 9697 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4435, 9697 using Euclid's Algorithm?
Answer: For arbitrary numbers 4435, 9697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.