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 9465, 3754 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9465, 3754 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 9465, 3754 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 9465, 3754 is 1.
HCF(9465, 3754) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9465, 3754 is 1.
Step 1: Since 9465 > 3754, we apply the division lemma to 9465 and 3754, to get
9465 = 3754 x 2 + 1957
Step 2: Since the reminder 3754 ≠ 0, we apply division lemma to 1957 and 3754, to get
3754 = 1957 x 1 + 1797
Step 3: We consider the new divisor 1957 and the new remainder 1797, and apply the division lemma to get
1957 = 1797 x 1 + 160
We consider the new divisor 1797 and the new remainder 160,and apply the division lemma to get
1797 = 160 x 11 + 37
We consider the new divisor 160 and the new remainder 37,and apply the division lemma to get
160 = 37 x 4 + 12
We consider the new divisor 37 and the new remainder 12,and apply the division lemma to get
37 = 12 x 3 + 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 9465 and 3754 is 1
Notice that 1 = HCF(12,1) = HCF(37,12) = HCF(160,37) = HCF(1797,160) = HCF(1957,1797) = HCF(3754,1957) = HCF(9465,3754) .
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 9465, 3754?
Answer: HCF of 9465, 3754 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9465, 3754 using Euclid's Algorithm?
Answer: For arbitrary numbers 9465, 3754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.