Highest Common Factor of 3265, 240 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 3265, 240 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3265, 240 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 3265, 240 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 3265, 240 is 5.
HCF(3265, 240) = 5
HCF of 3265, 240 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3265, 240 is 5.
Highest Common Factor of 3265,240 is 5
Step 1: Since 3265 > 240, we apply the division lemma to 3265 and 240, to get
3265 = 240 x 13 + 145
Step 2: Since the reminder 240 ≠ 0, we apply division lemma to 145 and 240, to get
240 = 145 x 1 + 95
Step 3: We consider the new divisor 145 and the new remainder 95, and apply the division lemma to get
145 = 95 x 1 + 50
We consider the new divisor 95 and the new remainder 50,and apply the division lemma to get
95 = 50 x 1 + 45
We consider the new divisor 50 and the new remainder 45,and apply the division lemma to get
50 = 45 x 1 + 5
We consider the new divisor 45 and the new remainder 5,and apply the division lemma to get
45 = 5 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3265 and 240 is 5
Notice that 5 = HCF(45,5) = HCF(50,45) = HCF(95,50) = HCF(145,95) = HCF(240,145) = HCF(3265,240) .
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Frequently Asked Questions on HCF of 3265, 240 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 3265, 240?
Answer: HCF of 3265, 240 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3265, 240 using Euclid's Algorithm?
Answer: For arbitrary numbers 3265, 240 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.