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 4615, 4340 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4615, 4340 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 4615, 4340 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 4615, 4340 is 5.
HCF(4615, 4340) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4615, 4340 is 5.
Step 1: Since 4615 > 4340, we apply the division lemma to 4615 and 4340, to get
4615 = 4340 x 1 + 275
Step 2: Since the reminder 4340 ≠ 0, we apply division lemma to 275 and 4340, to get
4340 = 275 x 15 + 215
Step 3: We consider the new divisor 275 and the new remainder 215, and apply the division lemma to get
275 = 215 x 1 + 60
We consider the new divisor 215 and the new remainder 60,and apply the division lemma to get
215 = 60 x 3 + 35
We consider the new divisor 60 and the new remainder 35,and apply the division lemma to get
60 = 35 x 1 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4615 and 4340 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(60,35) = HCF(215,60) = HCF(275,215) = HCF(4340,275) = HCF(4615,4340) .
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 4615, 4340?
Answer: HCF of 4615, 4340 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4615, 4340 using Euclid's Algorithm?
Answer: For arbitrary numbers 4615, 4340 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.