Highest Common Factor of 9705, 2240 using Euclid's algorithm
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 9705, 2240 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9705, 2240 is 5 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 9705, 2240 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 9705, 2240 is 5.
HCF(9705, 2240) = 5
HCF of 9705, 2240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9705, 2240 is 5.
Highest Common Factor of 9705,2240 is 5
Step 1: Since 9705 > 2240, we apply the division lemma to 9705 and 2240, to get
9705 = 2240 x 4 + 745
Step 2: Since the reminder 2240 ≠ 0, we apply division lemma to 745 and 2240, to get
2240 = 745 x 3 + 5
Step 3: We consider the new divisor 745 and the new remainder 5, and apply the division lemma to get
745 = 5 x 149 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9705 and 2240 is 5
Notice that 5 = HCF(745,5) = HCF(2240,745) = HCF(9705,2240) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9705, 2240 using Euclid's Algorithm
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 9705, 2240?
Answer: HCF of 9705, 2240 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9705, 2240 using Euclid's Algorithm?
Answer: For arbitrary numbers 9705, 2240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.